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Finding the Fourth Proportional to 138,568.80, 207,853.68 and 38,728.36

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Solution

The fourth proportional to 138,568.80, 207,853.68 and 38,728.36 is: 58,092.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,568.80 : 207,853.68 = 38,728.36 : x
  2. Step 2: Convert to fraction form
    138,568.80/207,853.68 = 38,728.36/x
  3. Step 3: Cross multiply
    138,568.80x = 207,853.68 × 38,728.36
  4. Step 4: Simplify right side
    138,568.80x = 8,049,832,146.36
  5. Step 5: Solve for x
    x = 8,049,832,146.36/138,568.80
  6. Step 6: Final answer
    x = 58,092.67

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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.