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Finding the Fourth Proportional to 113.24, 168.74 and 109.56

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Solution

The fourth proportional to 113.24, 168.74 and 109.56 is: 163.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.24 : 168.74 = 109.56 : x
  2. Step 2: Convert to fraction form
    113.24/168.74 = 109.56/x
  3. Step 3: Cross multiply
    113.24x = 168.74 × 109.56
  4. Step 4: Simplify right side
    113.24x = 18,487.15
  5. Step 5: Solve for x
    x = 18,487.15/113.24
  6. Step 6: Final answer
    x = 163.26

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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.