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Finding the Fourth Proportional to 123.70, 169.56 and 123.16

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Solution

The fourth proportional to 123.70, 169.56 and 123.16 is: 168.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.70 : 169.56 = 123.16 : x
  2. Step 2: Convert to fraction form
    123.70/169.56 = 123.16/x
  3. Step 3: Cross multiply
    123.70x = 169.56 × 123.16
  4. Step 4: Simplify right side
    123.70x = 20,883.01
  5. Step 5: Solve for x
    x = 20,883.01/123.70
  6. Step 6: Final answer
    x = 168.82

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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.