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Finding the Fourth Proportional to 123.44, 169.62 and 110.48

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Solution

The fourth proportional to 123.44, 169.62 and 110.48 is: 151.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.44 : 169.62 = 110.48 : x
  2. Step 2: Convert to fraction form
    123.44/169.62 = 110.48/x
  3. Step 3: Cross multiply
    123.44x = 169.62 × 110.48
  4. Step 4: Simplify right side
    123.44x = 18,739.62
  5. Step 5: Solve for x
    x = 18,739.62/123.44
  6. Step 6: Final answer
    x = 151.81

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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.