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Finding the Fourth Proportional to 83,780,893.80, 125,671,340.70 and 77,734,276.20

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Solution

The fourth proportional to 83,780,893.80, 125,671,340.70 and 77,734,276.20 is: 116,601,414.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,780,893.80 : 125,671,340.70 = 77,734,276.20 : x
  2. Step 2: Convert to fraction form
    83,780,893.80/125,671,340.70 = 77,734,276.20/x
  3. Step 3: Cross multiply
    83,780,893.80x = 125,671,340.70 × 77,734,276.20
  4. Step 4: Simplify right side
    83,780,893.80x = 9,768,970,708,398,102
  5. Step 5: Solve for x
    x = 9,768,970,708,398,102/83,780,893.80
  6. Step 6: Final answer
    x = 116,601,414.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.