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Finding the Fourth Proportional to 79.24, 118.07 and 75.75

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Solution

The fourth proportional to 79.24, 118.07 and 75.75 is: 112.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    79.24 : 118.07 = 75.75 : x
  2. Step 2: Convert to fraction form
    79.24/118.07 = 75.75/x
  3. Step 3: Cross multiply
    79.24x = 118.07 × 75.75
  4. Step 4: Simplify right side
    79.24x = 8,943.02
  5. Step 5: Solve for x
    x = 8,943.02/79.24
  6. Step 6: Final answer
    x = 112.86

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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.