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Finding the Fourth Proportional to 81,481.93, 122,222.99 and 22,318.11

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Solution

The fourth proportional to 81,481.93, 122,222.99 and 22,318.11 is: 33,477.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,481.93 : 122,222.99 = 22,318.11 : x
  2. Step 2: Convert to fraction form
    81,481.93/122,222.99 = 22,318.11/x
  3. Step 3: Cross multiply
    81,481.93x = 122,222.99 × 22,318.11
  4. Step 4: Simplify right side
    81,481.93x = 2,727,786,191.14
  5. Step 5: Solve for x
    x = 2,727,786,191.14/81,481.93
  6. Step 6: Final answer
    x = 33,477.19

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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.