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Finding the Fourth Proportional to 112.28, 168.54 and 71.72

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Solution

The fourth proportional to 112.28, 168.54 and 71.72 is: 107.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.28 : 168.54 = 71.72 : x
  2. Step 2: Convert to fraction form
    112.28/168.54 = 71.72/x
  3. Step 3: Cross multiply
    112.28x = 168.54 × 71.72
  4. Step 4: Simplify right side
    112.28x = 12,087.21
  5. Step 5: Solve for x
    x = 12,087.21/112.28
  6. Step 6: Final answer
    x = 107.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.