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Finding the Fourth Proportional to 117.30, 176.11 and 81.14

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Solution

The fourth proportional to 117.30, 176.11 and 81.14 is: 121.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.30 : 176.11 = 81.14 : x
  2. Step 2: Convert to fraction form
    117.30/176.11 = 81.14/x
  3. Step 3: Cross multiply
    117.30x = 176.11 × 81.14
  4. Step 4: Simplify right side
    117.30x = 14,289.57
  5. Step 5: Solve for x
    x = 14,289.57/117.30
  6. Step 6: Final answer
    x = 121.82

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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.