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Finding the Fourth Proportional to 111.87, 168.08 and 95.67

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Solution

The fourth proportional to 111.87, 168.08 and 95.67 is: 143.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.87 : 168.08 = 95.67 : x
  2. Step 2: Convert to fraction form
    111.87/168.08 = 95.67/x
  3. Step 3: Cross multiply
    111.87x = 168.08 × 95.67
  4. Step 4: Simplify right side
    111.87x = 16,079.74
  5. Step 5: Solve for x
    x = 16,079.74/111.87
  6. Step 6: Final answer
    x = 143.74

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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.