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Finding the Fourth Proportional to 111.02, 166.21 and 76.72

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Solution

The fourth proportional to 111.02, 166.21 and 76.72 is: 114.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.02 : 166.21 = 76.72 : x
  2. Step 2: Convert to fraction form
    111.02/166.21 = 76.72/x
  3. Step 3: Cross multiply
    111.02x = 166.21 × 76.72
  4. Step 4: Simplify right side
    111.02x = 12,750.81
  5. Step 5: Solve for x
    x = 12,750.81/111.02
  6. Step 6: Final answer
    x = 114.85

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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.