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Finding the Fourth Proportional to 113.76, 169.20 and 111.96

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Solution

The fourth proportional to 113.76, 169.20 and 111.96 is: 166.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.76 : 169.20 = 111.96 : x
  2. Step 2: Convert to fraction form
    113.76/169.20 = 111.96/x
  3. Step 3: Cross multiply
    113.76x = 169.20 × 111.96
  4. Step 4: Simplify right side
    113.76x = 18,943.63
  5. Step 5: Solve for x
    x = 18,943.63/113.76
  6. Step 6: Final answer
    x = 166.52

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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.