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Finding the Fourth Proportional to 83,332.80, 124,999.20 and 77,755.95

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Solution

The fourth proportional to 83,332.80, 124,999.20 and 77,755.95 is: 116,633.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,332.80 : 124,999.20 = 77,755.95 : x
  2. Step 2: Convert to fraction form
    83,332.80/124,999.20 = 77,755.95/x
  3. Step 3: Cross multiply
    83,332.80x = 124,999.20 × 77,755.95
  4. Step 4: Simplify right side
    83,332.80x = 9,719,431,545.24
  5. Step 5: Solve for x
    x = 9,719,431,545.24/83,332.80
  6. Step 6: Final answer
    x = 116,633.93

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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.