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Finding the Fourth Proportional to 87,642.60, 131,723.10 and 76,237.80

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Solution

The fourth proportional to 87,642.60, 131,723.10 and 76,237.80 is: 114,582.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,642.60 : 131,723.10 = 76,237.80 : x
  2. Step 2: Convert to fraction form
    87,642.60/131,723.10 = 76,237.80/x
  3. Step 3: Cross multiply
    87,642.60x = 131,723.10 × 76,237.80
  4. Step 4: Simplify right side
    87,642.60x = 10,042,279,353.18
  5. Step 5: Solve for x
    x = 10,042,279,353.18/87,642.60
  6. Step 6: Final answer
    x = 114,582.17

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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.