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Finding the Fourth Proportional to 112.40, 168.36 and 88.16

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Solution

The fourth proportional to 112.40, 168.36 and 88.16 is: 132.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.40 : 168.36 = 88.16 : x
  2. Step 2: Convert to fraction form
    112.40/168.36 = 88.16/x
  3. Step 3: Cross multiply
    112.40x = 168.36 × 88.16
  4. Step 4: Simplify right side
    112.40x = 14,842.62
  5. Step 5: Solve for x
    x = 14,842.62/112.40
  6. Step 6: Final answer
    x = 132.05

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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.