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Finding the Fourth Proportional to 123.88, 170.95 and 80.26

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Solution

The fourth proportional to 123.88, 170.95 and 80.26 is: 110.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.88 : 170.95 = 80.26 : x
  2. Step 2: Convert to fraction form
    123.88/170.95 = 80.26/x
  3. Step 3: Cross multiply
    123.88x = 170.95 × 80.26
  4. Step 4: Simplify right side
    123.88x = 13,720.45
  5. Step 5: Solve for x
    x = 13,720.45/123.88
  6. Step 6: Final answer
    x = 110.76

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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.