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Finding the Fourth Proportional to 96.72, 144.87 and 77.49

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Solution

The fourth proportional to 96.72, 144.87 and 77.49 is: 116.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.72 : 144.87 = 77.49 : x
  2. Step 2: Convert to fraction form
    96.72/144.87 = 77.49/x
  3. Step 3: Cross multiply
    96.72x = 144.87 × 77.49
  4. Step 4: Simplify right side
    96.72x = 11,225.98
  5. Step 5: Solve for x
    x = 11,225.98/96.72
  6. Step 6: Final answer
    x = 116.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.