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Finding the Fourth Proportional to 87,906.30, 132,038.10 and 77,609.94

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Solution

The fourth proportional to 87,906.30, 132,038.10 and 77,609.94 is: 116,572.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,906.30 : 132,038.10 = 77,609.94 : x
  2. Step 2: Convert to fraction form
    87,906.30/132,038.10 = 77,609.94/x
  3. Step 3: Cross multiply
    87,906.30x = 132,038.10 × 77,609.94
  4. Step 4: Simplify right side
    87,906.30x = 10,247,469,018.71
  5. Step 5: Solve for x
    x = 10,247,469,018.71/87,906.30
  6. Step 6: Final answer
    x = 116,572.63

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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.