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Finding the Fourth Proportional to 281,287.80, 421,972.74 and 81,609.30

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Solution

The fourth proportional to 281,287.80, 421,972.74 and 81,609.30 is: 122,425.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,287.80 : 421,972.74 = 81,609.30 : x
  2. Step 2: Convert to fraction form
    281,287.80/421,972.74 = 81,609.30/x
  3. Step 3: Cross multiply
    281,287.80x = 421,972.74 × 81,609.30
  4. Step 4: Simplify right side
    281,287.80x = 34,436,899,930.48
  5. Step 5: Solve for x
    x = 34,436,899,930.48/281,287.80
  6. Step 6: Final answer
    x = 122,425.86

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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.