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Finding the Fourth Proportional to 132,878.44, 199,092.12 and 80,177.20

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Solution

The fourth proportional to 132,878.44, 199,092.12 and 80,177.20 is: 120,129.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,878.44 : 199,092.12 = 80,177.20 : x
  2. Step 2: Convert to fraction form
    132,878.44/199,092.12 = 80,177.20/x
  3. Step 3: Cross multiply
    132,878.44x = 199,092.12 × 80,177.20
  4. Step 4: Simplify right side
    132,878.44x = 15,962,648,723.66
  5. Step 5: Solve for x
    x = 15,962,648,723.66/132,878.44
  6. Step 6: Final answer
    x = 120,129.71

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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.