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Finding the Fourth Proportional to 123.49, 170.37 and 81.97

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Solution

The fourth proportional to 123.49, 170.37 and 81.97 is: 113.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.49 : 170.37 = 81.97 : x
  2. Step 2: Convert to fraction form
    123.49/170.37 = 81.97/x
  3. Step 3: Cross multiply
    123.49x = 170.37 × 81.97
  4. Step 4: Simplify right side
    123.49x = 13,965.23
  5. Step 5: Solve for x
    x = 13,965.23/123.49
  6. Step 6: Final answer
    x = 113.09

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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.