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Finding the Fourth Proportional to 96, 132.54 and 72.78

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Solution

The fourth proportional to 96, 132.54 and 72.78 is: 100.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    96 : 132.54 = 72.78 : x
  2. Step 2: Convert to fraction form
    96/132.54 = 72.78/x
  3. Step 3: Cross multiply
    96x = 132.54 × 72.78
  4. Step 4: Simplify right side
    96x = 9,646.26
  5. Step 5: Solve for x
    x = 9,646.26/96
  6. Step 6: Final answer
    x = 100.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.