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Finding the Fourth Proportional to 79.81, 119.17 and 75.86

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Solution

The fourth proportional to 79.81, 119.17 and 75.86 is: 113.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    79.81 : 119.17 = 75.86 : x
  2. Step 2: Convert to fraction form
    79.81/119.17 = 75.86/x
  3. Step 3: Cross multiply
    79.81x = 119.17 × 75.86
  4. Step 4: Simplify right side
    79.81x = 9,040.24
  5. Step 5: Solve for x
    x = 9,040.24/79.81
  6. Step 6: Final answer
    x = 113.27

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.