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Finding the Fourth Proportional to 111.72, 154.02 and 82.16

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Solution

The fourth proportional to 111.72, 154.02 and 82.16 is: 113.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.72 : 154.02 = 82.16 : x
  2. Step 2: Convert to fraction form
    111.72/154.02 = 82.16/x
  3. Step 3: Cross multiply
    111.72x = 154.02 × 82.16
  4. Step 4: Simplify right side
    111.72x = 12,654.28
  5. Step 5: Solve for x
    x = 12,654.28/111.72
  6. Step 6: Final answer
    x = 113.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.