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Finding the Fourth Proportional to 252,283.01, 378,423.50 and 83,815.97

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Solution

The fourth proportional to 252,283.01, 378,423.50 and 83,815.97 is: 125,723.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,283.01 : 378,423.50 = 83,815.97 : x
  2. Step 2: Convert to fraction form
    252,283.01/378,423.50 = 83,815.97/x
  3. Step 3: Cross multiply
    252,283.01x = 378,423.50 × 83,815.97
  4. Step 4: Simplify right side
    252,283.01x = 31,717,930,412.10
  5. Step 5: Solve for x
    x = 31,717,930,412.10/252,283.01
  6. Step 6: Final answer
    x = 125,723.61

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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.