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Finding the Fourth Proportional to 80,382.31, 120,476.75 and 29,740.96

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Solution

The fourth proportional to 80,382.31, 120,476.75 and 29,740.96 is: 44,575.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,382.31 : 120,476.75 = 29,740.96 : x
  2. Step 2: Convert to fraction form
    80,382.31/120,476.75 = 29,740.96/x
  3. Step 3: Cross multiply
    80,382.31x = 120,476.75 × 29,740.96
  4. Step 4: Simplify right side
    80,382.31x = 3,583,094,202.68
  5. Step 5: Solve for x
    x = 3,583,094,202.68/80,382.31
  6. Step 6: Final answer
    x = 44,575.66

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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.