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Finding the Fourth Proportional to 71.72, 99.02 and 49.85

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Solution

The fourth proportional to 71.72, 99.02 and 49.85 is: 68.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.72 : 99.02 = 49.85 : x
  2. Step 2: Convert to fraction form
    71.72/99.02 = 49.85/x
  3. Step 3: Cross multiply
    71.72x = 99.02 × 49.85
  4. Step 4: Simplify right side
    71.72x = 4,936.15
  5. Step 5: Solve for x
    x = 4,936.15/71.72
  6. Step 6: Final answer
    x = 68.83

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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.