Ultimately it's about physical strength and aerobic/anaerobic conditioning. Training properly improves these. Training properly isn't fun or easy while doing it but feels better when you see the improvements over time and effort.
Weight to strength ratios are valid but I've seen big riders that are very strong overcome the ratio and gravity while on short climbs...the longer the climb the less the impact and the smaller riders that are also stronger physically and aerobically/anaerobically ride away from the bigger rider.
Numbers are for guidance and they all should be taken into consideration but no one set of numbers dominating all others exclusively.
To improve climbing increase strength to weight ratio, increase aerobic and anaerobic abilities, learn how to climb...in the saddle, when to stand, how long to stand, etc., it matters.
Have fun !