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Finding the Fourth Proportional to 87,827, 131,742.48 and 31,671.68

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Solution

The fourth proportional to 87,827, 131,742.48 and 31,671.68 is: 47,508.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,827 : 131,742.48 = 31,671.68 : x
  2. Step 2: Convert to fraction form
    87,827/131,742.48 = 31,671.68/x
  3. Step 3: Cross multiply
    87,827x = 131,742.48 × 31,671.68
  4. Step 4: Simplify right side
    87,827x = 4,172,505,668.97
  5. Step 5: Solve for x
    x = 4,172,505,668.97/87,827
  6. Step 6: Final answer
    x = 47,508.23

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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.