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Finding the Fourth Proportional to 95.38, 142.84 and 54.67

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Solution

The fourth proportional to 95.38, 142.84 and 54.67 is: 81.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    95.38 : 142.84 = 54.67 : x
  2. Step 2: Convert to fraction form
    95.38/142.84 = 54.67/x
  3. Step 3: Cross multiply
    95.38x = 142.84 × 54.67
  4. Step 4: Simplify right side
    95.38x = 7,809.06
  5. Step 5: Solve for x
    x = 7,809.06/95.38
  6. Step 6: Final answer
    x = 81.87

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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.