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Finding the Fourth Proportional to 108.13, 149.33 and 81.86

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Solution

The fourth proportional to 108.13, 149.33 and 81.86 is: 113.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.13 : 149.33 = 81.86 : x
  2. Step 2: Convert to fraction form
    108.13/149.33 = 81.86/x
  3. Step 3: Cross multiply
    108.13x = 149.33 × 81.86
  4. Step 4: Simplify right side
    108.13x = 12,224.15
  5. Step 5: Solve for x
    x = 12,224.15/108.13
  6. Step 6: Final answer
    x = 113.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.