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Finding the Fourth Proportional to 108.75, 163.01 and 81.82

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Solution

The fourth proportional to 108.75, 163.01 and 81.82 is: 122.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.75 : 163.01 = 81.82 : x
  2. Step 2: Convert to fraction form
    108.75/163.01 = 81.82/x
  3. Step 3: Cross multiply
    108.75x = 163.01 × 81.82
  4. Step 4: Simplify right side
    108.75x = 13,337.48
  5. Step 5: Solve for x
    x = 13,337.48/108.75
  6. Step 6: Final answer
    x = 122.64

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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.