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Finding the Fourth Proportional to 281,483.84, 422,151.84 and 81,750.56

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Solution

The fourth proportional to 281,483.84, 422,151.84 and 81,750.56 is: 122,604.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,483.84 : 422,151.84 = 81,750.56 : x
  2. Step 2: Convert to fraction form
    281,483.84/422,151.84 = 81,750.56/x
  3. Step 3: Cross multiply
    281,483.84x = 422,151.84 × 81,750.56
  4. Step 4: Simplify right side
    281,483.84x = 34,511,149,325.03
  5. Step 5: Solve for x
    x = 34,511,149,325.03/281,483.84
  6. Step 6: Final answer
    x = 122,604.37

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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.