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Finding the Fourth Proportional to 108.92, 163.11 and 83.14

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Solution

The fourth proportional to 108.92, 163.11 and 83.14 is: 124.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.92 : 163.11 = 83.14 : x
  2. Step 2: Convert to fraction form
    108.92/163.11 = 83.14/x
  3. Step 3: Cross multiply
    108.92x = 163.11 × 83.14
  4. Step 4: Simplify right side
    108.92x = 13,560.15
  5. Step 5: Solve for x
    x = 13,560.15/108.92
  6. Step 6: Final answer
    x = 124.50

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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.