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Finding the Fourth Proportional to 79.89, 119.87 and 54.24

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Solution

The fourth proportional to 79.89, 119.87 and 54.24 is: 81.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    79.89 : 119.87 = 54.24 : x
  2. Step 2: Convert to fraction form
    79.89/119.87 = 54.24/x
  3. Step 3: Cross multiply
    79.89x = 119.87 × 54.24
  4. Step 4: Simplify right side
    79.89x = 6,501.75
  5. Step 5: Solve for x
    x = 6,501.75/79.89
  6. Step 6: Final answer
    x = 81.38

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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.