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Finding the Fourth Proportional to 123.32, 184.07 and 111.78

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Solution

The fourth proportional to 123.32, 184.07 and 111.78 is: 166.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.32 : 184.07 = 111.78 : x
  2. Step 2: Convert to fraction form
    123.32/184.07 = 111.78/x
  3. Step 3: Cross multiply
    123.32x = 184.07 × 111.78
  4. Step 4: Simplify right side
    123.32x = 20,575.62
  5. Step 5: Solve for x
    x = 20,575.62/123.32
  6. Step 6: Final answer
    x = 166.84

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.