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Finding the Fourth Proportional to 83,700.20, 125,550.30 and 76,701.80

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Solution

The fourth proportional to 83,700.20, 125,550.30 and 76,701.80 is: 115,052.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,700.20 : 125,550.30 = 76,701.80 : x
  2. Step 2: Convert to fraction form
    83,700.20/125,550.30 = 76,701.80/x
  3. Step 3: Cross multiply
    83,700.20x = 125,550.30 × 76,701.80
  4. Step 4: Simplify right side
    83,700.20x = 9,629,934,000.54
  5. Step 5: Solve for x
    x = 9,629,934,000.54/83,700.20
  6. Step 6: Final answer
    x = 115,052.70

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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.