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Finding the Fourth Proportional to 252,181.27, 378,277.31 and 74,691.91

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Solution

The fourth proportional to 252,181.27, 378,277.31 and 74,691.91 is: 112,039.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,181.27 : 378,277.31 = 74,691.91 : x
  2. Step 2: Convert to fraction form
    252,181.27/378,277.31 = 74,691.91/x
  3. Step 3: Cross multiply
    252,181.27x = 378,277.31 × 74,691.91
  4. Step 4: Simplify right side
    252,181.27x = 28,254,254,793.56
  5. Step 5: Solve for x
    x = 28,254,254,793.56/252,181.27
  6. Step 6: Final answer
    x = 112,039.47

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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.