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Finding the Fourth Proportional to 87,856, 131,915.24 and 86,543.80

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Solution

The fourth proportional to 87,856, 131,915.24 and 86,543.80 is: 129,944.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,856 : 131,915.24 = 86,543.80 : x
  2. Step 2: Convert to fraction form
    87,856/131,915.24 = 86,543.80/x
  3. Step 3: Cross multiply
    87,856x = 131,915.24 × 86,543.80
  4. Step 4: Simplify right side
    87,856x = 11,416,446,147.51
  5. Step 5: Solve for x
    x = 11,416,446,147.51/87,856
  6. Step 6: Final answer
    x = 129,944.98

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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.