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Finding the Fourth Proportional to 83,218.38, 124,977.92 and 76,542.86

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Solution

The fourth proportional to 83,218.38, 124,977.92 and 76,542.86 is: 114,952.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,218.38 : 124,977.92 = 76,542.86 : x
  2. Step 2: Convert to fraction form
    83,218.38/124,977.92 = 76,542.86/x
  3. Step 3: Cross multiply
    83,218.38x = 124,977.92 × 76,542.86
  4. Step 4: Simplify right side
    83,218.38x = 9,566,166,426.05
  5. Step 5: Solve for x
    x = 9,566,166,426.05/83,218.38
  6. Step 6: Final answer
    x = 114,952.57

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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.