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Finding the Fourth Proportional to 73.73, 101.77 and 51.61

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Solution

The fourth proportional to 73.73, 101.77 and 51.61 is: 71.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.73 : 101.77 = 51.61 : x
  2. Step 2: Convert to fraction form
    73.73/101.77 = 51.61/x
  3. Step 3: Cross multiply
    73.73x = 101.77 × 51.61
  4. Step 4: Simplify right side
    73.73x = 5,251.97
  5. Step 5: Solve for x
    x = 5,251.97/73.73
  6. Step 6: Final answer
    x = 71.23

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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.