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Finding the Fourth Proportional to 111.76, 166.95 and 72.92

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Solution

The fourth proportional to 111.76, 166.95 and 72.92 is: 108.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.76 : 166.95 = 72.92 : x
  2. Step 2: Convert to fraction form
    111.76/166.95 = 72.92/x
  3. Step 3: Cross multiply
    111.76x = 166.95 × 72.92
  4. Step 4: Simplify right side
    111.76x = 12,174.41
  5. Step 5: Solve for x
    x = 12,174.41/111.76
  6. Step 6: Final answer
    x = 108.94

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.