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Finding the Fourth Proportional to 80,104.64, 120,175.17 and 42,644.97

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Solution

The fourth proportional to 80,104.64, 120,175.17 and 42,644.97 is: 63,977.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,104.64 : 120,175.17 = 42,644.97 : x
  2. Step 2: Convert to fraction form
    80,104.64/120,175.17 = 42,644.97/x
  3. Step 3: Cross multiply
    80,104.64x = 120,175.17 × 42,644.97
  4. Step 4: Simplify right side
    80,104.64x = 5,124,866,519.39
  5. Step 5: Solve for x
    x = 5,124,866,519.39/80,104.64
  6. Step 6: Final answer
    x = 63,977.15

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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.