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Finding the Fourth Proportional to 87,846.78, 131,771.78 and 31,691.10

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Solution

The fourth proportional to 87,846.78, 131,771.78 and 31,691.10 is: 47,537.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,846.78 : 131,771.78 = 31,691.10 : x
  2. Step 2: Convert to fraction form
    87,846.78/131,771.78 = 31,691.10/x
  3. Step 3: Cross multiply
    87,846.78x = 131,771.78 × 31,691.10
  4. Step 4: Simplify right side
    87,846.78x = 4,175,992,657.16
  5. Step 5: Solve for x
    x = 4,175,992,657.16/87,846.78
  6. Step 6: Final answer
    x = 47,537.23

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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.