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Finding the Fourth Proportional to 87,458.68, 131,188 and 83,209.42

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Solution

The fourth proportional to 87,458.68, 131,188 and 83,209.42 is: 124,814.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,458.68 : 131,188 = 83,209.42 : x
  2. Step 2: Convert to fraction form
    87,458.68/131,188 = 83,209.42/x
  3. Step 3: Cross multiply
    87,458.68x = 131,188 × 83,209.42
  4. Step 4: Simplify right side
    87,458.68x = 10,916,077,390.96
  5. Step 5: Solve for x
    x = 10,916,077,390.96/87,458.68
  6. Step 6: Final answer
    x = 124,814.11

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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.