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Finding the Fourth Proportional to 138,982.74, 208,474.10 and 33,800.80

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Solution

The fourth proportional to 138,982.74, 208,474.10 and 33,800.80 is: 50,701.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,982.74 : 208,474.10 = 33,800.80 : x
  2. Step 2: Convert to fraction form
    138,982.74/208,474.10 = 33,800.80/x
  3. Step 3: Cross multiply
    138,982.74x = 208,474.10 × 33,800.80
  4. Step 4: Simplify right side
    138,982.74x = 7,046,591,359.28
  5. Step 5: Solve for x
    x = 7,046,591,359.28/138,982.74
  6. Step 6: Final answer
    x = 50,701.20

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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.