Hi,
You could use the electric automotive door lock units. some are now rack and motor type.
Use an array, say 4 x 25 in each bank.
You will only be actuating one at a time so power requirements won't be astronomical.
This has been done many times before so it is not impossible.
Tom....
A tourist parks up in Queensland use this method as their locker system, for you to store your gear for the days visit.
http://www.gearbest.com/car-gadgets/pp_143912.html?currency=AUD&gclid=CNKgwrr07MUCFUxwvAod4JcAFg