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Finding the Fourth Proportional to 80,343.52, 120,476.40 and 27,734.56

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Solution

The fourth proportional to 80,343.52, 120,476.40 and 27,734.56 is: 41,588.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,343.52 : 120,476.40 = 27,734.56 : x
  2. Step 2: Convert to fraction form
    80,343.52/120,476.40 = 27,734.56/x
  3. Step 3: Cross multiply
    80,343.52x = 120,476.40 × 27,734.56
  4. Step 4: Simplify right side
    80,343.52x = 3,341,359,944.38
  5. Step 5: Solve for x
    x = 3,341,359,944.38/80,343.52
  6. Step 6: Final answer
    x = 41,588.42

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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.