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Finding the Fourth Proportional to 104.23, 156.14 and 81.29

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Solution

The fourth proportional to 104.23, 156.14 and 81.29 is: 121.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.23 : 156.14 = 81.29 : x
  2. Step 2: Convert to fraction form
    104.23/156.14 = 81.29/x
  3. Step 3: Cross multiply
    104.23x = 156.14 × 81.29
  4. Step 4: Simplify right side
    104.23x = 12,692.62
  5. Step 5: Solve for x
    x = 12,692.62/104.23
  6. Step 6: Final answer
    x = 121.78

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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.