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Finding the Fourth Proportional to 252,002.97, 378,078.30 and 74,514.60

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Solution

The fourth proportional to 252,002.97, 378,078.30 and 74,514.60 is: 111,793.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,002.97 : 378,078.30 = 74,514.60 : x
  2. Step 2: Convert to fraction form
    252,002.97/378,078.30 = 74,514.60/x
  3. Step 3: Cross multiply
    252,002.97x = 378,078.30 × 74,514.60
  4. Step 4: Simplify right side
    252,002.97x = 28,172,353,293.18
  5. Step 5: Solve for x
    x = 28,172,353,293.18/252,002.97
  6. Step 6: Final answer
    x = 111,793.74

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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.