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Finding the Fourth Proportional to 243,540, 365,393.16 and 131,231.88

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Solution

The fourth proportional to 243,540, 365,393.16 and 131,231.88 is: 196,892.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,540 : 365,393.16 = 131,231.88 : x
  2. Step 2: Convert to fraction form
    243,540/365,393.16 = 131,231.88/x
  3. Step 3: Cross multiply
    243,540x = 365,393.16 × 131,231.88
  4. Step 4: Simplify right side
    243,540x = 47,951,231,325.94
  5. Step 5: Solve for x
    x = 47,951,231,325.94/243,540
  6. Step 6: Final answer
    x = 196,892.63

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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.