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Finding the Fourth Proportional to 123.17, 169.86 and 76.53

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Solution

The fourth proportional to 123.17, 169.86 and 76.53 is: 105.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.17 : 169.86 = 76.53 : x
  2. Step 2: Convert to fraction form
    123.17/169.86 = 76.53/x
  3. Step 3: Cross multiply
    123.17x = 169.86 × 76.53
  4. Step 4: Simplify right side
    123.17x = 12,999.39
  5. Step 5: Solve for x
    x = 12,999.39/123.17
  6. Step 6: Final answer
    x = 105.54

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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.