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Finding the Fourth Proportional to 81,604.31, 122,407.14 and 22,443.22

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Solution

The fourth proportional to 81,604.31, 122,407.14 and 22,443.22 is: 33,665.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,604.31 : 122,407.14 = 22,443.22 : x
  2. Step 2: Convert to fraction form
    81,604.31/122,407.14 = 22,443.22/x
  3. Step 3: Cross multiply
    81,604.31x = 122,407.14 × 22,443.22
  4. Step 4: Simplify right side
    81,604.31x = 2,747,210,372.59
  5. Step 5: Solve for x
    x = 2,747,210,372.59/81,604.31
  6. Step 6: Final answer
    x = 33,665.02

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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.