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Finding the Fourth Proportional to 112.90, 168.59 and 112.36

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Solution

The fourth proportional to 112.90, 168.59 and 112.36 is: 167.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.90 : 168.59 = 112.36 : x
  2. Step 2: Convert to fraction form
    112.90/168.59 = 112.36/x
  3. Step 3: Cross multiply
    112.90x = 168.59 × 112.36
  4. Step 4: Simplify right side
    112.90x = 18,942.77
  5. Step 5: Solve for x
    x = 18,942.77/112.90
  6. Step 6: Final answer
    x = 167.78

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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.