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Finding the Fourth Proportional to 81,855.87, 122,759.13 and 53,774.79

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Solution

The fourth proportional to 81,855.87, 122,759.13 and 53,774.79 is: 80,645.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,855.87 : 122,759.13 = 53,774.79 : x
  2. Step 2: Convert to fraction form
    81,855.87/122,759.13 = 53,774.79/x
  3. Step 3: Cross multiply
    81,855.87x = 122,759.13 × 53,774.79
  4. Step 4: Simplify right side
    81,855.87x = 6,601,346,436.33
  5. Step 5: Solve for x
    x = 6,601,346,436.33/81,855.87
  6. Step 6: Final answer
    x = 80,645.97

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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.