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Finding the Fourth Proportional to 252,666, 378,872.10 and 84,126.78

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Solution

The fourth proportional to 252,666, 378,872.10 and 84,126.78 is: 126,147.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,666 : 378,872.10 = 84,126.78 : x
  2. Step 2: Convert to fraction form
    252,666/378,872.10 = 84,126.78/x
  3. Step 3: Cross multiply
    252,666x = 378,872.10 × 84,126.78
  4. Step 4: Simplify right side
    252,666x = 31,873,289,804.84
  5. Step 5: Solve for x
    x = 31,873,289,804.84/252,666
  6. Step 6: Final answer
    x = 126,147.92

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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.