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Finding the Fourth Proportional to 138,371.08, 207,622.23 and 82,321.92

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Solution

The fourth proportional to 138,371.08, 207,622.23 and 82,321.92 is: 123,521.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,371.08 : 207,622.23 = 82,321.92 : x
  2. Step 2: Convert to fraction form
    138,371.08/207,622.23 = 82,321.92/x
  3. Step 3: Cross multiply
    138,371.08x = 207,622.23 × 82,321.92
  4. Step 4: Simplify right side
    138,371.08x = 17,091,860,604.87
  5. Step 5: Solve for x
    x = 17,091,860,604.87/138,371.08
  6. Step 6: Final answer
    x = 123,521.91

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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.