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Finding the Fourth Proportional to 99.92, 149.78 and 48.49

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Solution

The fourth proportional to 99.92, 149.78 and 48.49 is: 72.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.92 : 149.78 = 48.49 : x
  2. Step 2: Convert to fraction form
    99.92/149.78 = 48.49/x
  3. Step 3: Cross multiply
    99.92x = 149.78 × 48.49
  4. Step 4: Simplify right side
    99.92x = 7,262.83
  5. Step 5: Solve for x
    x = 7,262.83/99.92
  6. Step 6: Final answer
    x = 72.69

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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.