Which solutions solves it best is more a matter of opinion than fact. There are many viable candidates for that using various technologies applied.
So clearly there have been many innovations and different designs and approaches to the problem since the 1930s. There are more choices than ever not to mention continuous refinements to quality over the years.
So other than there being more larger homes and rooms these days than in the 1930s, the problem has not gotten much harder to solve, in fact improvements in amplifier technology make some speaker design problems, like size and bulk, easier to solve.
Needless to say it is possible to build a much higher output high quality speaker today than in 1930. But who needs that? Professional applications in large venues do but cost will likely be the barrier there, not the technology availble to build the best and highest output speaker possible.