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Finding the Fourth Proportional to 80,171.73, 120,153.51 and 32,731.29

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Solution

The fourth proportional to 80,171.73, 120,153.51 and 32,731.29 is: 49,054.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,171.73 : 120,153.51 = 32,731.29 : x
  2. Step 2: Convert to fraction form
    80,171.73/120,153.51 = 32,731.29/x
  3. Step 3: Cross multiply
    80,171.73x = 120,153.51 × 32,731.29
  4. Step 4: Simplify right side
    80,171.73x = 3,932,779,380.33
  5. Step 5: Solve for x
    x = 3,932,779,380.33/80,171.73
  6. Step 6: Final answer
    x = 49,054.44

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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.