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Finding the Fourth Proportional to 252,667, 378,873.60 and 84,127.78

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Solution

The fourth proportional to 252,667, 378,873.60 and 84,127.78 is: 126,149.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,667 : 378,873.60 = 84,127.78 : x
  2. Step 2: Convert to fraction form
    252,667/378,873.60 = 84,127.78/x
  3. Step 3: Cross multiply
    252,667x = 378,873.60 × 84,127.78
  4. Step 4: Simplify right side
    252,667x = 31,873,794,868.61
  5. Step 5: Solve for x
    x = 31,873,794,868.61/252,667
  6. Step 6: Final answer
    x = 126,149.42

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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.