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Finding the Fourth Proportional to 81,816, 122,710.32 and 22,657.65

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Solution

The fourth proportional to 81,816, 122,710.32 and 22,657.65 is: 33,982.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,816 : 122,710.32 = 22,657.65 : x
  2. Step 2: Convert to fraction form
    81,816/122,710.32 = 22,657.65/x
  3. Step 3: Cross multiply
    81,816x = 122,710.32 × 22,657.65
  4. Step 4: Simplify right side
    81,816x = 2,780,327,481.95
  5. Step 5: Solve for x
    x = 2,780,327,481.95/81,816
  6. Step 6: Final answer
    x = 33,982.69

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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.