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Finding the Fourth Proportional to 138,393.94, 207,656.52 and 82,344.78

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Solution

The fourth proportional to 138,393.94, 207,656.52 and 82,344.78 is: 123,556.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,393.94 : 207,656.52 = 82,344.78 : x
  2. Step 2: Convert to fraction form
    138,393.94/207,656.52 = 82,344.78/x
  3. Step 3: Cross multiply
    138,393.94x = 207,656.52 × 82,344.78
  4. Step 4: Simplify right side
    138,393.94x = 17,099,430,454.97
  5. Step 5: Solve for x
    x = 17,099,430,454.97/138,393.94
  6. Step 6: Final answer
    x = 123,556.21

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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.