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Finding the Fourth Proportional to 81,422.82, 122,191.97 and 37,055.30

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Solution

The fourth proportional to 81,422.82, 122,191.97 and 37,055.30 is: 55,609.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,422.82 : 122,191.97 = 37,055.30 : x
  2. Step 2: Convert to fraction form
    81,422.82/122,191.97 = 37,055.30/x
  3. Step 3: Cross multiply
    81,422.82x = 122,191.97 × 37,055.30
  4. Step 4: Simplify right side
    81,422.82x = 4,527,859,309.70
  5. Step 5: Solve for x
    x = 4,527,859,309.70/81,422.82
  6. Step 6: Final answer
    x = 55,609.22

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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.