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Finding the Fourth Proportional to 113.09, 169.63 and 81.76

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Solution

The fourth proportional to 113.09, 169.63 and 81.76 is: 122.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.09 : 169.63 = 81.76 : x
  2. Step 2: Convert to fraction form
    113.09/169.63 = 81.76/x
  3. Step 3: Cross multiply
    113.09x = 169.63 × 81.76
  4. Step 4: Simplify right side
    113.09x = 13,868.54
  5. Step 5: Solve for x
    x = 13,868.54/113.09
  6. Step 6: Final answer
    x = 122.64

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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.