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Finding the Fourth Proportional to 80,510.66, 120,789.36 and 32,454.46

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Solution

The fourth proportional to 80,510.66, 120,789.36 and 32,454.46 is: 48,691.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,510.66 : 120,789.36 = 32,454.46 : x
  2. Step 2: Convert to fraction form
    80,510.66/120,789.36 = 32,454.46/x
  3. Step 3: Cross multiply
    80,510.66x = 120,789.36 × 32,454.46
  4. Step 4: Simplify right side
    80,510.66x = 3,920,153,814.52
  5. Step 5: Solve for x
    x = 3,920,153,814.52/80,510.66
  6. Step 6: Final answer
    x = 48,691.12

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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.