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Finding the Fourth Proportional to 81,405.82, 122,099.01 and 22,246.66

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Solution

The fourth proportional to 81,405.82, 122,099.01 and 22,246.66 is: 33,367.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,405.82 : 122,099.01 = 22,246.66 : x
  2. Step 2: Convert to fraction form
    81,405.82/122,099.01 = 22,246.66/x
  3. Step 3: Cross multiply
    81,405.82x = 122,099.01 × 22,246.66
  4. Step 4: Simplify right side
    81,405.82x = 2,716,295,161.81
  5. Step 5: Solve for x
    x = 2,716,295,161.81/81,405.82
  6. Step 6: Final answer
    x = 33,367.33

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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.