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Finding the Fourth Proportional to 118.51, 163.50 and 81.76

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Solution

The fourth proportional to 118.51, 163.50 and 81.76 is: 112.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.51 : 163.50 = 81.76 : x
  2. Step 2: Convert to fraction form
    118.51/163.50 = 81.76/x
  3. Step 3: Cross multiply
    118.51x = 163.50 × 81.76
  4. Step 4: Simplify right side
    118.51x = 13,366.94
  5. Step 5: Solve for x
    x = 13,366.94/118.51
  6. Step 6: Final answer
    x = 112.80

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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.