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Finding the Fourth Proportional to 80,149.66, 120,283.56 and 38,029.90

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Solution

The fourth proportional to 80,149.66, 120,283.56 and 38,029.90 is: 57,072.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,149.66 : 120,283.56 = 38,029.90 : x
  2. Step 2: Convert to fraction form
    80,149.66/120,283.56 = 38,029.90/x
  3. Step 3: Cross multiply
    80,149.66x = 120,283.56 × 38,029.90
  4. Step 4: Simplify right side
    80,149.66x = 4,574,371,758.44
  5. Step 5: Solve for x
    x = 4,574,371,758.44/80,149.66
  6. Step 6: Final answer
    x = 57,072.88

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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.