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Finding the Fourth Proportional to 96.73, 133.50 and 78.25

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Solution

The fourth proportional to 96.73, 133.50 and 78.25 is: 108.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.73 : 133.50 = 78.25 : x
  2. Step 2: Convert to fraction form
    96.73/133.50 = 78.25/x
  3. Step 3: Cross multiply
    96.73x = 133.50 × 78.25
  4. Step 4: Simplify right side
    96.73x = 10,446.14
  5. Step 5: Solve for x
    x = 10,446.14/96.73
  6. Step 6: Final answer
    x = 108.00

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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.