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Finding the Fourth Proportional to 87,502.76, 131,256 and 31,346.52

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Solution

The fourth proportional to 87,502.76, 131,256 and 31,346.52 is: 47,020.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,502.76 : 131,256 = 31,346.52 : x
  2. Step 2: Convert to fraction form
    87,502.76/131,256 = 31,346.52/x
  3. Step 3: Cross multiply
    87,502.76x = 131,256 × 31,346.52
  4. Step 4: Simplify right side
    87,502.76x = 4,114,418,829.12
  5. Step 5: Solve for x
    x = 4,114,418,829.12/87,502.76
  6. Step 6: Final answer
    x = 47,020.45

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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.