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Finding the Fourth Proportional to 231,857.70, 347,787.36 and 82,098.06

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Solution

The fourth proportional to 231,857.70, 347,787.36 and 82,098.06 is: 123,147.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,857.70 : 347,787.36 = 82,098.06 : x
  2. Step 2: Convert to fraction form
    231,857.70/347,787.36 = 82,098.06/x
  3. Step 3: Cross multiply
    231,857.70x = 347,787.36 × 82,098.06
  4. Step 4: Simplify right side
    231,857.70x = 28,552,667,548.52
  5. Step 5: Solve for x
    x = 28,552,667,548.52/231,857.70
  6. Step 6: Final answer
    x = 123,147.38

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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.