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Finding the Fourth Proportional to 112.56, 167.88 and 109.68

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Solution

The fourth proportional to 112.56, 167.88 and 109.68 is: 163.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.56 : 167.88 = 109.68 : x
  2. Step 2: Convert to fraction form
    112.56/167.88 = 109.68/x
  3. Step 3: Cross multiply
    112.56x = 167.88 × 109.68
  4. Step 4: Simplify right side
    112.56x = 18,413.08
  5. Step 5: Solve for x
    x = 18,413.08/112.56
  6. Step 6: Final answer
    x = 163.58

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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.