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Finding the Fourth Proportional to 87,833, 131,729.80 and 40,402.54

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Solution

The fourth proportional to 87,833, 131,729.80 and 40,402.54 is: 60,594.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,833 : 131,729.80 = 40,402.54 : x
  2. Step 2: Convert to fraction form
    87,833/131,729.80 = 40,402.54/x
  3. Step 3: Cross multiply
    87,833x = 131,729.80 × 40,402.54
  4. Step 4: Simplify right side
    87,833x = 5,322,218,513.69
  5. Step 5: Solve for x
    x = 5,322,218,513.69/87,833
  6. Step 6: Final answer
    x = 60,594.75

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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.