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Finding the Fourth Proportional to 118.50, 163.53 and 81.68

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Solution

The fourth proportional to 118.50, 163.53 and 81.68 is: 112.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.50 : 163.53 = 81.68 : x
  2. Step 2: Convert to fraction form
    118.50/163.53 = 81.68/x
  3. Step 3: Cross multiply
    118.50x = 163.53 × 81.68
  4. Step 4: Simplify right side
    118.50x = 13,356.31
  5. Step 5: Solve for x
    x = 13,356.31/118.50
  6. Step 6: Final answer
    x = 112.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.