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Finding the Fourth Proportional to 87,310.70, 131,023.65 and 31,906.70

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Solution

The fourth proportional to 87,310.70, 131,023.65 and 31,906.70 is: 47,881.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,310.70 : 131,023.65 = 31,906.70 : x
  2. Step 2: Convert to fraction form
    87,310.70/131,023.65 = 31,906.70/x
  3. Step 3: Cross multiply
    87,310.70x = 131,023.65 × 31,906.70
  4. Step 4: Simplify right side
    87,310.70x = 4,180,532,293.46
  5. Step 5: Solve for x
    x = 4,180,532,293.46/87,310.70
  6. Step 6: Final answer
    x = 47,881.10

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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.