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Finding the Fourth Proportional to 112.57, 168.64 and 63.74

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Solution

The fourth proportional to 112.57, 168.64 and 63.74 is: 95.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.57 : 168.64 = 63.74 : x
  2. Step 2: Convert to fraction form
    112.57/168.64 = 63.74/x
  3. Step 3: Cross multiply
    112.57x = 168.64 × 63.74
  4. Step 4: Simplify right side
    112.57x = 10,749.11
  5. Step 5: Solve for x
    x = 10,749.11/112.57
  6. Step 6: Final answer
    x = 95.49

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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.