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Finding the Fourth Proportional to 112.43, 168.79 and 85.09

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Solution

The fourth proportional to 112.43, 168.79 and 85.09 is: 127.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.43 : 168.79 = 85.09 : x
  2. Step 2: Convert to fraction form
    112.43/168.79 = 85.09/x
  3. Step 3: Cross multiply
    112.43x = 168.79 × 85.09
  4. Step 4: Simplify right side
    112.43x = 14,362.34
  5. Step 5: Solve for x
    x = 14,362.34/112.43
  6. Step 6: Final answer
    x = 127.74

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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.