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Finding the Fourth Proportional to 112.13, 167.17 and 105.24

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Solution

The fourth proportional to 112.13, 167.17 and 105.24 is: 156.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.13 : 167.17 = 105.24 : x
  2. Step 2: Convert to fraction form
    112.13/167.17 = 105.24/x
  3. Step 3: Cross multiply
    112.13x = 167.17 × 105.24
  4. Step 4: Simplify right side
    112.13x = 17,592.71
  5. Step 5: Solve for x
    x = 17,592.71/112.13
  6. Step 6: Final answer
    x = 156.90

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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.