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Finding the Fourth Proportional to 109,372.17, 163,668.41 and 75,644.97

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Solution

The fourth proportional to 109,372.17, 163,668.41 and 75,644.97 is: 113,197.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,372.17 : 163,668.41 = 75,644.97 : x
  2. Step 2: Convert to fraction form
    109,372.17/163,668.41 = 75,644.97/x
  3. Step 3: Cross multiply
    109,372.17x = 163,668.41 × 75,644.97
  4. Step 4: Simplify right side
    109,372.17x = 12,380,691,586.17
  5. Step 5: Solve for x
    x = 12,380,691,586.17/109,372.17
  6. Step 6: Final answer
    x = 113,197.82

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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.