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Finding the Fourth Proportional to 142,781.80, 213,983.70 and 76,078.30

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Solution

The fourth proportional to 142,781.80, 213,983.70 and 76,078.30 is: 114,016.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,781.80 : 213,983.70 = 76,078.30 : x
  2. Step 2: Convert to fraction form
    142,781.80/213,983.70 = 76,078.30/x
  3. Step 3: Cross multiply
    142,781.80x = 213,983.70 × 76,078.30
  4. Step 4: Simplify right side
    142,781.80x = 16,279,516,123.71
  5. Step 5: Solve for x
    x = 16,279,516,123.71/142,781.80
  6. Step 6: Final answer
    x = 114,016.75

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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.