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Finding the Fourth Proportional to 113.81, 169.70 and 108.14

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Solution

The fourth proportional to 113.81, 169.70 and 108.14 is: 161.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.81 : 169.70 = 108.14 : x
  2. Step 2: Convert to fraction form
    113.81/169.70 = 108.14/x
  3. Step 3: Cross multiply
    113.81x = 169.70 × 108.14
  4. Step 4: Simplify right side
    113.81x = 18,349.97
  5. Step 5: Solve for x
    x = 18,349.97/113.81
  6. Step 6: Final answer
    x = 161.24

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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.