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Finding the Fourth Proportional to 138,797.30, 208,164.78 and 63,845.46

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Solution

The fourth proportional to 138,797.30, 208,164.78 and 63,845.46 is: 95,753.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,797.30 : 208,164.78 = 63,845.46 : x
  2. Step 2: Convert to fraction form
    138,797.30/208,164.78 = 63,845.46/x
  3. Step 3: Cross multiply
    138,797.30x = 208,164.78 × 63,845.46
  4. Step 4: Simplify right side
    138,797.30x = 13,290,376,134.90
  5. Step 5: Solve for x
    x = 13,290,376,134.90/138,797.30
  6. Step 6: Final answer
    x = 95,753.85

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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.