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Finding the Fourth Proportional to 281,137.97, 421,659.98 and 123,324.05

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Solution

The fourth proportional to 281,137.97, 421,659.98 and 123,324.05 is: 184,965.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,137.97 : 421,659.98 = 123,324.05 : x
  2. Step 2: Convert to fraction form
    281,137.97/421,659.98 = 123,324.05/x
  3. Step 3: Cross multiply
    281,137.97x = 421,659.98 × 123,324.05
  4. Step 4: Simplify right side
    281,137.97x = 52,000,815,839.90
  5. Step 5: Solve for x
    x = 52,000,815,839.90/281,137.97
  6. Step 6: Final answer
    x = 184,965.47

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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.