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Finding the Fourth Proportional to 113.19, 167.64 and 111.96

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Solution

The fourth proportional to 113.19, 167.64 and 111.96 is: 165.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.19 : 167.64 = 111.96 : x
  2. Step 2: Convert to fraction form
    113.19/167.64 = 111.96/x
  3. Step 3: Cross multiply
    113.19x = 167.64 × 111.96
  4. Step 4: Simplify right side
    113.19x = 18,768.97
  5. Step 5: Solve for x
    x = 18,768.97/113.19
  6. Step 6: Final answer
    x = 165.82

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.