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Finding the Fourth Proportional to 138,393.22, 207,655.50 and 82,344.10

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Solution

The fourth proportional to 138,393.22, 207,655.50 and 82,344.10 is: 123,555.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,393.22 : 207,655.50 = 82,344.10 : x
  2. Step 2: Convert to fraction form
    138,393.22/207,655.50 = 82,344.10/x
  3. Step 3: Cross multiply
    138,393.22x = 207,655.50 × 82,344.10
  4. Step 4: Simplify right side
    138,393.22x = 17,099,205,257.55
  5. Step 5: Solve for x
    x = 17,099,205,257.55/138,393.22
  6. Step 6: Final answer
    x = 123,555.22

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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.