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Finding the Fourth Proportional to 74.96, 111.76 and 72.24

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Solution

The fourth proportional to 74.96, 111.76 and 72.24 is: 107.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.96 : 111.76 = 72.24 : x
  2. Step 2: Convert to fraction form
    74.96/111.76 = 72.24/x
  3. Step 3: Cross multiply
    74.96x = 111.76 × 72.24
  4. Step 4: Simplify right side
    74.96x = 8,073.54
  5. Step 5: Solve for x
    x = 8,073.54/74.96
  6. Step 6: Final answer
    x = 107.70

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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.