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Finding the Fourth Proportional to 80,546.31, 120,859.16 and 36,205.29

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Solution

The fourth proportional to 80,546.31, 120,859.16 and 36,205.29 is: 54,325.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,546.31 : 120,859.16 = 36,205.29 : x
  2. Step 2: Convert to fraction form
    80,546.31/120,859.16 = 36,205.29/x
  3. Step 3: Cross multiply
    80,546.31x = 120,859.16 × 36,205.29
  4. Step 4: Simplify right side
    80,546.31x = 4,375,740,755.93
  5. Step 5: Solve for x
    x = 4,375,740,755.93/80,546.31
  6. Step 6: Final answer
    x = 54,325.78

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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.