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Finding the Fourth Proportional to 87,314.92, 131,063.98 and 77,383.20

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Solution

The fourth proportional to 87,314.92, 131,063.98 and 77,383.20 is: 116,155.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,314.92 : 131,063.98 = 77,383.20 : x
  2. Step 2: Convert to fraction form
    87,314.92/131,063.98 = 77,383.20/x
  3. Step 3: Cross multiply
    87,314.92x = 131,063.98 × 77,383.20
  4. Step 4: Simplify right side
    87,314.92x = 10,142,150,177.14
  5. Step 5: Solve for x
    x = 10,142,150,177.14/87,314.92
  6. Step 6: Final answer
    x = 116,155.98

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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.