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Finding the Fourth Proportional to 87.66, 132.05 and 72.54

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Solution

The fourth proportional to 87.66, 132.05 and 72.54 is: 109.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    87.66 : 132.05 = 72.54 : x
  2. Step 2: Convert to fraction form
    87.66/132.05 = 72.54/x
  3. Step 3: Cross multiply
    87.66x = 132.05 × 72.54
  4. Step 4: Simplify right side
    87.66x = 9,579.09
  5. Step 5: Solve for x
    x = 9,579.09/87.66
  6. Step 6: Final answer
    x = 109.28

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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.