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Finding the Fourth Proportional to 112.17, 167.98 and 77.83

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Solution

The fourth proportional to 112.17, 167.98 and 77.83 is: 116.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.17 : 167.98 = 77.83 : x
  2. Step 2: Convert to fraction form
    112.17/167.98 = 77.83/x
  3. Step 3: Cross multiply
    112.17x = 167.98 × 77.83
  4. Step 4: Simplify right side
    112.17x = 13,074.30
  5. Step 5: Solve for x
    x = 13,074.30/112.17
  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.