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Finding the Fourth Proportional to 100.92, 138.76 and 76.24

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Solution

The fourth proportional to 100.92, 138.76 and 76.24 is: 104.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.92 : 138.76 = 76.24 : x
  2. Step 2: Convert to fraction form
    100.92/138.76 = 76.24/x
  3. Step 3: Cross multiply
    100.92x = 138.76 × 76.24
  4. Step 4: Simplify right side
    100.92x = 10,579.06
  5. Step 5: Solve for x
    x = 10,579.06/100.92
  6. Step 6: Final answer
    x = 104.83

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.