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Finding the Fourth Proportional to 96.87, 133.88 and 77.43

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Solution

The fourth proportional to 96.87, 133.88 and 77.43 is: 107.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.87 : 133.88 = 77.43 : x
  2. Step 2: Convert to fraction form
    96.87/133.88 = 77.43/x
  3. Step 3: Cross multiply
    96.87x = 133.88 × 77.43
  4. Step 4: Simplify right side
    96.87x = 10,365.94
  5. Step 5: Solve for x
    x = 10,365.94/96.87
  6. Step 6: Final answer
    x = 107.01

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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.