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Finding the Fourth Proportional to 252,129.66, 378,268.56 and 74,641.29

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Solution

The fourth proportional to 252,129.66, 378,268.56 and 74,641.29 is: 111,983.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,129.66 : 378,268.56 = 74,641.29 : x
  2. Step 2: Convert to fraction form
    252,129.66/378,268.56 = 74,641.29/x
  3. Step 3: Cross multiply
    252,129.66x = 378,268.56 × 74,641.29
  4. Step 4: Simplify right side
    252,129.66x = 28,234,451,866.34
  5. Step 5: Solve for x
    x = 28,234,451,866.34/252,129.66
  6. Step 6: Final answer
    x = 111,983.86

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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.