You are not comparing to like things there: the ping reading is a measure of latency, the b/s reading is a measure of throughput.
Individual packets might take 26ms to get from the BBC and back, but the network protocols can have many packets "in flight" at any time. Like driving: It might take two hours for one car full of people to get from York to Grimsby and back (so the round-trip latency is two hours) but you could have hundreds of cars making the trip at any given time so that latency does not (directly) affect throughput. Or like satellite TV: a HD channel needs much higher throughput then the older SD standards which is achieved by advances in sender+receiver tech that allows more bits to be correctly transmitted in a given amount of time, but the latency is the same for both (as the main factor in the latency is the speed of light which limits how fast the data can get from the station to the satellite and then down to your dish).
High latency will affect the speed of interactive traffic (where one end needs a response from the other before sending another request but outside extreme cases it does not affect bulk transfers in either direction.
Saying "I have higher latency than throughput" makes no sense. The two figures measure completely different aspects of the communications link.
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Current ISP: Andrews & Arnold (AAISP, aa.net.uk) via FTTC at ~36Mbit down & ~10Mbit up, joined July 2011.
Previous setup: Be Pro with UploadPlus (ADSL2+, AnnexM), 12ish Mbit down, 1.6 up, happy customer for ~2.5 years.