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Finding the Fourth Proportional to 281,229.56, 421,757.43 and 81,564.63

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Solution

The fourth proportional to 281,229.56, 421,757.43 and 81,564.63 is: 122,321.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,229.56 : 421,757.43 = 81,564.63 : x
  2. Step 2: Convert to fraction form
    281,229.56/421,757.43 = 81,564.63/x
  3. Step 3: Cross multiply
    281,229.56x = 421,757.43 × 81,564.63
  4. Step 4: Simplify right side
    281,229.56x = 34,400,488,727.70
  5. Step 5: Solve for x
    x = 34,400,488,727.70/281,229.56
  6. Step 6: Final answer
    x = 122,321.74

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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.