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Finding the Fourth Proportional to 49.92, 68.84 and 47.94

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Solution

The fourth proportional to 49.92, 68.84 and 47.94 is: 66.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.92 : 68.84 = 47.94 : x
  2. Step 2: Convert to fraction form
    49.92/68.84 = 47.94/x
  3. Step 3: Cross multiply
    49.92x = 68.84 × 47.94
  4. Step 4: Simplify right side
    49.92x = 3,300.19
  5. Step 5: Solve for x
    x = 3,300.19/49.92
  6. Step 6: Final answer
    x = 66.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.