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Finding the Fourth Proportional to 123.24, 169.89 and 86.28

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Solution

The fourth proportional to 123.24, 169.89 and 86.28 is: 118.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.24 : 169.89 = 86.28 : x
  2. Step 2: Convert to fraction form
    123.24/169.89 = 86.28/x
  3. Step 3: Cross multiply
    123.24x = 169.89 × 86.28
  4. Step 4: Simplify right side
    123.24x = 14,657.25
  5. Step 5: Solve for x
    x = 14,657.25/123.24
  6. Step 6: Final answer
    x = 118.94

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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.