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Finding the Fourth Proportional to 252,132.88, 378,273.48 and 74,644.64

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Solution

The fourth proportional to 252,132.88, 378,273.48 and 74,644.64 is: 111,988.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,132.88 : 378,273.48 = 74,644.64 : x
  2. Step 2: Convert to fraction form
    252,132.88/378,273.48 = 74,644.64/x
  3. Step 3: Cross multiply
    252,132.88x = 378,273.48 × 74,644.64
  4. Step 4: Simplify right side
    252,132.88x = 28,236,087,736.15
  5. Step 5: Solve for x
    x = 28,236,087,736.15/252,132.88
  6. Step 6: Final answer
    x = 111,988.92

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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.