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Finding the Fourth Proportional to 138,203.16, 206,972.52 and 78,858.90

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Solution

The fourth proportional to 138,203.16, 206,972.52 and 78,858.90 is: 118,098.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,203.16 : 206,972.52 = 78,858.90 : x
  2. Step 2: Convert to fraction form
    138,203.16/206,972.52 = 78,858.90/x
  3. Step 3: Cross multiply
    138,203.16x = 206,972.52 × 78,858.90
  4. Step 4: Simplify right side
    138,203.16x = 16,321,625,257.43
  5. Step 5: Solve for x
    x = 16,321,625,257.43/138,203.16
  6. Step 6: Final answer
    x = 118,098.78

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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.