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Finding the Fourth Proportional to 112.64, 167.98 and 109.88

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Solution

The fourth proportional to 112.64, 167.98 and 109.88 is: 163.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.64 : 167.98 = 109.88 : x
  2. Step 2: Convert to fraction form
    112.64/167.98 = 109.88/x
  3. Step 3: Cross multiply
    112.64x = 167.98 × 109.88
  4. Step 4: Simplify right side
    112.64x = 18,457.64
  5. Step 5: Solve for x
    x = 18,457.64/112.64
  6. Step 6: Final answer
    x = 163.86

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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.