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Finding the Fourth Proportional to 81.95, 122.96 and 47.75

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Solution

The fourth proportional to 81.95, 122.96 and 47.75 is: 71.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    81.95 : 122.96 = 47.75 : x
  2. Step 2: Convert to fraction form
    81.95/122.96 = 47.75/x
  3. Step 3: Cross multiply
    81.95x = 122.96 × 47.75
  4. Step 4: Simplify right side
    81.95x = 5,870.84
  5. Step 5: Solve for x
    x = 5,870.84/81.95
  6. Step 6: Final answer
    x = 71.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.