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Finding the Fourth Proportional to 73.92, 102.02 and 40.73

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Solution

The fourth proportional to 73.92, 102.02 and 40.73 is: 56.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.92 : 102.02 = 40.73 : x
  2. Step 2: Convert to fraction form
    73.92/102.02 = 40.73/x
  3. Step 3: Cross multiply
    73.92x = 102.02 × 40.73
  4. Step 4: Simplify right side
    73.92x = 4,155.46
  5. Step 5: Solve for x
    x = 4,155.46/73.92
  6. Step 6: Final answer
    x = 56.21

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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.