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Finding the Fourth Proportional to 129,251.40, 193,896.52 and 40,493.20

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Solution

The fourth proportional to 129,251.40, 193,896.52 and 40,493.20 is: 60,745.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,251.40 : 193,896.52 = 40,493.20 : x
  2. Step 2: Convert to fraction form
    129,251.40/193,896.52 = 40,493.20/x
  3. Step 3: Cross multiply
    129,251.40x = 193,896.52 × 40,493.20
  4. Step 4: Simplify right side
    129,251.40x = 7,851,490,563.66
  5. Step 5: Solve for x
    x = 7,851,490,563.66/129,251.40
  6. Step 6: Final answer
    x = 60,745.88

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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.