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Finding the Fourth Proportional to 87.75, 120.83 and 76.05

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Solution

The fourth proportional to 87.75, 120.83 and 76.05 is: 104.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    87.75 : 120.83 = 76.05 : x
  2. Step 2: Convert to fraction form
    87.75/120.83 = 76.05/x
  3. Step 3: Cross multiply
    87.75x = 120.83 × 76.05
  4. Step 4: Simplify right side
    87.75x = 9,188.74
  5. Step 5: Solve for x
    x = 9,188.74/87.75
  6. Step 6: Final answer
    x = 104.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.