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Finding the Fourth Proportional to 138,642.91, 207,964.40 and 38,817.81

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Solution

The fourth proportional to 138,642.91, 207,964.40 and 38,817.81 is: 58,226.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,642.91 : 207,964.40 = 38,817.81 : x
  2. Step 2: Convert to fraction form
    138,642.91/207,964.40 = 38,817.81/x
  3. Step 3: Cross multiply
    138,642.91x = 207,964.40 × 38,817.81
  4. Step 4: Simplify right side
    138,642.91x = 8,072,722,371.87
  5. Step 5: Solve for x
    x = 8,072,722,371.87/138,642.91
  6. Step 6: Final answer
    x = 58,226.72

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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.