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Finding the Fourth Proportional to 123.06, 168.74 and 111.36

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Solution

The fourth proportional to 123.06, 168.74 and 111.36 is: 152.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.06 : 168.74 = 111.36 : x
  2. Step 2: Convert to fraction form
    123.06/168.74 = 111.36/x
  3. Step 3: Cross multiply
    123.06x = 168.74 × 111.36
  4. Step 4: Simplify right side
    123.06x = 18,790.33
  5. Step 5: Solve for x
    x = 18,790.33/123.06
  6. Step 6: Final answer
    x = 152.69

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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.