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Finding the Fourth Proportional to 252,856.71, 379,320.60 and 82,020.42

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Solution

The fourth proportional to 252,856.71, 379,320.60 and 82,020.42 is: 123,042.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,856.71 : 379,320.60 = 82,020.42 : x
  2. Step 2: Convert to fraction form
    252,856.71/379,320.60 = 82,020.42/x
  3. Step 3: Cross multiply
    252,856.71x = 379,320.60 × 82,020.42
  4. Step 4: Simplify right side
    252,856.71x = 31,112,034,926.65
  5. Step 5: Solve for x
    x = 31,112,034,926.65/252,856.71
  6. Step 6: Final answer
    x = 123,042.16

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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.