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Finding the Fourth Proportional to 281,999.74, 422,998.56 and 68,765.20

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Solution

The fourth proportional to 281,999.74, 422,998.56 and 68,765.20 is: 103,147.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,999.74 : 422,998.56 = 68,765.20 : x
  2. Step 2: Convert to fraction form
    281,999.74/422,998.56 = 68,765.20/x
  3. Step 3: Cross multiply
    281,999.74x = 422,998.56 × 68,765.20
  4. Step 4: Simplify right side
    281,999.74x = 29,087,580,578.11
  5. Step 5: Solve for x
    x = 29,087,580,578.11/281,999.74
  6. Step 6: Final answer
    x = 103,147.54

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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.