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Finding the Fourth Proportional to 281,806, 422,701.56 and 82,181.48

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Solution

The fourth proportional to 281,806, 422,701.56 and 82,181.48 is: 123,270.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,806 : 422,701.56 = 82,181.48 : x
  2. Step 2: Convert to fraction form
    281,806/422,701.56 = 82,181.48/x
  3. Step 3: Cross multiply
    281,806x = 422,701.56 × 82,181.48
  4. Step 4: Simplify right side
    281,806x = 34,738,239,799.11
  5. Step 5: Solve for x
    x = 34,738,239,799.11/281,806
  6. Step 6: Final answer
    x = 123,270.05

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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.