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Finding the Fourth Proportional to 96.72, 144.88 and 76.34

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Solution

The fourth proportional to 96.72, 144.88 and 76.34 is: 114.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.72 : 144.88 = 76.34 : x
  2. Step 2: Convert to fraction form
    96.72/144.88 = 76.34/x
  3. Step 3: Cross multiply
    96.72x = 144.88 × 76.34
  4. Step 4: Simplify right side
    96.72x = 11,060.14
  5. Step 5: Solve for x
    x = 11,060.14/96.72
  6. Step 6: Final answer
    x = 114.35

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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.