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Finding the Fourth Proportional to 112.08, 167.96 and 77.78

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Solution

The fourth proportional to 112.08, 167.96 and 77.78 is: 116.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.08 : 167.96 = 77.78 : x
  2. Step 2: Convert to fraction form
    112.08/167.96 = 77.78/x
  3. Step 3: Cross multiply
    112.08x = 167.96 × 77.78
  4. Step 4: Simplify right side
    112.08x = 13,063.93
  5. Step 5: Solve for x
    x = 13,063.93/112.08
  6. Step 6: Final answer
    x = 116.56

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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.