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Finding the Fourth Proportional to 252,416.47, 378,542.46 and 83,891.52

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Solution

The fourth proportional to 252,416.47, 378,542.46 and 83,891.52 is: 125,809.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,416.47 : 378,542.46 = 83,891.52 : x
  2. Step 2: Convert to fraction form
    252,416.47/378,542.46 = 83,891.52/x
  3. Step 3: Cross multiply
    252,416.47x = 378,542.46 × 83,891.52
  4. Step 4: Simplify right side
    252,416.47x = 31,756,502,353.94
  5. Step 5: Solve for x
    x = 31,756,502,353.94/252,416.47
  6. Step 6: Final answer
    x = 125,809.95

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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.