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Finding the Fourth Proportional to 112.61, 168.76 and 83.74

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Solution

The fourth proportional to 112.61, 168.76 and 83.74 is: 125.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.61 : 168.76 = 83.74 : x
  2. Step 2: Convert to fraction form
    112.61/168.76 = 83.74/x
  3. Step 3: Cross multiply
    112.61x = 168.76 × 83.74
  4. Step 4: Simplify right side
    112.61x = 14,131.96
  5. Step 5: Solve for x
    x = 14,131.96/112.61
  6. Step 6: Final answer
    x = 125.49

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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.