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Finding the Fourth Proportional to 79.16, 117.72 and 76.73

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Solution

The fourth proportional to 79.16, 117.72 and 76.73 is: 114.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    79.16 : 117.72 = 76.73 : x
  2. Step 2: Convert to fraction form
    79.16/117.72 = 76.73/x
  3. Step 3: Cross multiply
    79.16x = 117.72 × 76.73
  4. Step 4: Simplify right side
    79.16x = 9,031.85
  5. Step 5: Solve for x
    x = 9,031.85/79.16
  6. Step 6: Final answer
    x = 114.10

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.