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Finding the Fourth Proportional to 185,425.20, 278,224.20 and 138,769.20

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Solution

The fourth proportional to 185,425.20, 278,224.20 and 138,769.20 is: 208,218.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,425.20 : 278,224.20 = 138,769.20 : x
  2. Step 2: Convert to fraction form
    185,425.20/278,224.20 = 138,769.20/x
  3. Step 3: Cross multiply
    185,425.20x = 278,224.20 × 138,769.20
  4. Step 4: Simplify right side
    185,425.20x = 38,608,949,654.64
  5. Step 5: Solve for x
    x = 38,608,949,654.64/185,425.20
  6. Step 6: Final answer
    x = 208,218.46

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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.