Those 4 bulbs will be enough.
For the part numbers go to light producers website. Or make a search on web. search like "2x55w pll ballast" You'll find many of them.
This is i found for 80w: Philips HF-P 280 TL5/PLL EII 220-240V 50/60Hz 871150006016730
And these are for 55w: Philips HF-P 255 PLL EII 220-240V 50/60Hz 871150006062430. / Osram Quicktronic QTP-DL2X55 EAN: 4008321117960
Only important thing you should look in names is 2 55, 2 80 and pll signs.
Note: This ballasts will run both lamps at the same time. There is no option like one on and one off. You'll be able run 2 or 4 not 3 or 1.
For more, go everywhere in this forum and check this thread.
Answers about CFL, HPS, How Much Light...
Good luck with all :thumbsup: