The revolutions in France, Latin America, and Russia all dealt with the theme of citizens who were in lower socioeconomic classes wanting political power. With this political power, the individuals who lead these revolts wanted the power to decide who exactly would rule. In each of these areas, the leaders were not chosen by an individual. Rather, the position was passed down from father/mother to a son/daughter.
This goes perfectly with the concept of a democracy. This is because a democracy is a political system in which citizens vote on who will run their country. In the case of France, Latin-America, and Russia, the citizens wanted a more democratic style of government, as it would be easier to get rid of individuals who abused their power. Along with this, it would give the citizens more control over what happens in their respective country.