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Finding the Fourth Proportional to 87,709.60, 131,722.80 and 76,823.20

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Solution

The fourth proportional to 87,709.60, 131,722.80 and 76,823.20 is: 115,373.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,709.60 : 131,722.80 = 76,823.20 : x
  2. Step 2: Convert to fraction form
    87,709.60/131,722.80 = 76,823.20/x
  3. Step 3: Cross multiply
    87,709.60x = 131,722.80 × 76,823.20
  4. Step 4: Simplify right side
    87,709.60x = 10,119,367,008.96
  5. Step 5: Solve for x
    x = 10,119,367,008.96/87,709.60
  6. Step 6: Final answer
    x = 115,373.54

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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.