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Finding the Fourth Proportional to 123.27, 169.35 and 110.32

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Solution

The fourth proportional to 123.27, 169.35 and 110.32 is: 151.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.27 : 169.35 = 110.32 : x
  2. Step 2: Convert to fraction form
    123.27/169.35 = 110.32/x
  3. Step 3: Cross multiply
    123.27x = 169.35 × 110.32
  4. Step 4: Simplify right side
    123.27x = 18,682.49
  5. Step 5: Solve for x
    x = 18,682.49/123.27
  6. Step 6: Final answer
    x = 151.56

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.