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Finding the Fourth Proportional to 129,191.91, 193,704.49 and 61,687.41

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Solution

The fourth proportional to 129,191.91, 193,704.49 and 61,687.41 is: 92,491.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,191.91 : 193,704.49 = 61,687.41 : x
  2. Step 2: Convert to fraction form
    129,191.91/193,704.49 = 61,687.41/x
  3. Step 3: Cross multiply
    129,191.91x = 193,704.49 × 61,687.41
  4. Step 4: Simplify right side
    129,191.91x = 11,949,128,293.47
  5. Step 5: Solve for x
    x = 11,949,128,293.47/129,191.91
  6. Step 6: Final answer
    x = 92,491.30

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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.