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Finding the Fourth Proportional to 138,042.56, 207,068.48 and 38,194.40

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Solution

The fourth proportional to 138,042.56, 207,068.48 and 38,194.40 is: 57,292.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,042.56 : 207,068.48 = 38,194.40 : x
  2. Step 2: Convert to fraction form
    138,042.56/207,068.48 = 38,194.40/x
  3. Step 3: Cross multiply
    138,042.56x = 207,068.48 × 38,194.40
  4. Step 4: Simplify right side
    138,042.56x = 7,908,856,161.54
  5. Step 5: Solve for x
    x = 7,908,856,161.54/138,042.56
  6. Step 6: Final answer
    x = 57,292.88

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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.