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Finding the Fourth Proportional to 73.73, 101.78 and 49.13

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Solution

The fourth proportional to 73.73, 101.78 and 49.13 is: 67.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.73 : 101.78 = 49.13 : x
  2. Step 2: Convert to fraction form
    73.73/101.78 = 49.13/x
  3. Step 3: Cross multiply
    73.73x = 101.78 × 49.13
  4. Step 4: Simplify right side
    73.73x = 5,000.20
  5. Step 5: Solve for x
    x = 5,000.20/73.73
  6. Step 6: Final answer
    x = 67.82

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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.