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Finding the Fourth Proportional to 78,022.92, 107,781.85 and 62,086.98

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Solution

The fourth proportional to 78,022.92, 107,781.85 and 62,086.98 is: 85,767.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,022.92 : 107,781.85 = 62,086.98 : x
  2. Step 2: Convert to fraction form
    78,022.92/107,781.85 = 62,086.98/x
  3. Step 3: Cross multiply
    78,022.92x = 107,781.85 × 62,086.98
  4. Step 4: Simplify right side
    78,022.92x = 6,691,849,565.31
  5. Step 5: Solve for x
    x = 6,691,849,565.31/78,022.92
  6. Step 6: Final answer
    x = 85,767.74

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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.