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Finding the Fourth Proportional to 138,604.76, 207,905.31 and 33,422.88

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Solution

The fourth proportional to 138,604.76, 207,905.31 and 33,422.88 is: 50,133.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,604.76 : 207,905.31 = 33,422.88 : x
  2. Step 2: Convert to fraction form
    138,604.76/207,905.31 = 33,422.88/x
  3. Step 3: Cross multiply
    138,604.76x = 207,905.31 × 33,422.88
  4. Step 4: Simplify right side
    138,604.76x = 6,948,794,227.49
  5. Step 5: Solve for x
    x = 6,948,794,227.49/138,604.76
  6. Step 6: Final answer
    x = 50,133.88

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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.