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Finding the Fourth Proportional to 138,601.76, 207,900.81 and 33,419.88

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Solution

The fourth proportional to 138,601.76, 207,900.81 and 33,419.88 is: 50,129.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,601.76 : 207,900.81 = 33,419.88 : x
  2. Step 2: Convert to fraction form
    138,601.76/207,900.81 = 33,419.88/x
  3. Step 3: Cross multiply
    138,601.76x = 207,900.81 × 33,419.88
  4. Step 4: Simplify right side
    138,601.76x = 6,948,020,122.10
  5. Step 5: Solve for x
    x = 6,948,020,122.10/138,601.76
  6. Step 6: Final answer
    x = 50,129.38

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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.