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Finding the Fourth Proportional to 112.86, 167.84 and 111.66

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Solution

The fourth proportional to 112.86, 167.84 and 111.66 is: 166.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.86 : 167.84 = 111.66 : x
  2. Step 2: Convert to fraction form
    112.86/167.84 = 111.66/x
  3. Step 3: Cross multiply
    112.86x = 167.84 × 111.66
  4. Step 4: Simplify right side
    112.86x = 18,740.46
  5. Step 5: Solve for x
    x = 18,740.46/112.86
  6. Step 6: Final answer
    x = 166.05

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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.