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Finding the Fourth Proportional to 85.96, 118.01 and 76.24

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Solution

The fourth proportional to 85.96, 118.01 and 76.24 is: 104.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.96 : 118.01 = 76.24 : x
  2. Step 2: Convert to fraction form
    85.96/118.01 = 76.24/x
  3. Step 3: Cross multiply
    85.96x = 118.01 × 76.24
  4. Step 4: Simplify right side
    85.96x = 8,997.08
  5. Step 5: Solve for x
    x = 8,997.08/85.96
  6. Step 6: Final answer
    x = 104.67

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.