Finding the Fourth Proportional to 127,970,195,076.96, 176,531,915,793.55 and 79,125,401,781.23
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Solution
The fourth proportional to 127,970,195,076.96, 176,531,915,793.55 and 79,125,401,781.23 is: 109,151,656,414.79
Step by Step Solution
- Step 1: Write the proportion equation
127,970,195,076.96 : 176,531,915,793.55 = 79,125,401,781.23 : x - Step 2: Convert to fraction form
127,970,195,076.96/176,531,915,793.55 = 79,125,401,781.23/x - Step 3: Cross multiply
127,970,195,076.96x = 176,531,915,793.55 × 79,125,401,781.23 - Step 4: Simplify right side
127,970,195,076.96x = 13,968,158,764,374,022,946,816 - Step 5: Solve for x
x = 13,968,158,764,374,022,946,816/127,970,195,076.96 - Step 6: Final answer
x = 109,151,656,414.79
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.