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Finding the Fourth Proportional to 108.73, 163.23 and 81.46

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Solution

The fourth proportional to 108.73, 163.23 and 81.46 is: 122.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.73 : 163.23 = 81.46 : x
  2. Step 2: Convert to fraction form
    108.73/163.23 = 81.46/x
  3. Step 3: Cross multiply
    108.73x = 163.23 × 81.46
  4. Step 4: Simplify right side
    108.73x = 13,296.72
  5. Step 5: Solve for x
    x = 13,296.72/108.73
  6. Step 6: Final answer
    x = 122.29

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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.