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Finding the Fourth Proportional to 281,481.84, 422,148.84 and 81,748.56

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Solution

The fourth proportional to 281,481.84, 422,148.84 and 81,748.56 is: 122,601.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,481.84 : 422,148.84 = 81,748.56 : x
  2. Step 2: Convert to fraction form
    281,481.84/422,148.84 = 81,748.56/x
  3. Step 3: Cross multiply
    281,481.84x = 422,148.84 × 81,748.56
  4. Step 4: Simplify right side
    281,481.84x = 34,510,059,775.67
  5. Step 5: Solve for x
    x = 34,510,059,775.67/281,481.84
  6. Step 6: Final answer
    x = 122,601.37

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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.