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Finding the Fourth Proportional to 111.96, 168.12 and 99.24

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Solution

The fourth proportional to 111.96, 168.12 and 99.24 is: 149.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.96 : 168.12 = 99.24 : x
  2. Step 2: Convert to fraction form
    111.96/168.12 = 99.24/x
  3. Step 3: Cross multiply
    111.96x = 168.12 × 99.24
  4. Step 4: Simplify right side
    111.96x = 16,684.23
  5. Step 5: Solve for x
    x = 16,684.23/111.96
  6. Step 6: Final answer
    x = 149.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.