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Finding the Fourth Proportional to 281,687.22, 422,546.22 and 71,326.98

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Solution

The fourth proportional to 281,687.22, 422,546.22 and 71,326.98 is: 106,994.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,687.22 : 422,546.22 = 71,326.98 : x
  2. Step 2: Convert to fraction form
    281,687.22/422,546.22 = 71,326.98/x
  3. Step 3: Cross multiply
    281,687.22x = 422,546.22 × 71,326.98
  4. Step 4: Simplify right side
    281,687.22x = 30,138,945,783.02
  5. Step 5: Solve for x
    x = 30,138,945,783.02/281,687.22
  6. Step 6: Final answer
    x = 106,994.37

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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.