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Finding the Fourth Proportional to 87.78, 132.26 and 79.23

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Solution

The fourth proportional to 87.78, 132.26 and 79.23 is: 119.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    87.78 : 132.26 = 79.23 : x
  2. Step 2: Convert to fraction form
    87.78/132.26 = 79.23/x
  3. Step 3: Cross multiply
    87.78x = 132.26 × 79.23
  4. Step 4: Simplify right side
    87.78x = 10,478.56
  5. Step 5: Solve for x
    x = 10,478.56/87.78
  6. Step 6: Final answer
    x = 119.37

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.