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Finding the Fourth Proportional to 231,778.78, 347,823.96 and 82,018.45

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Solution

The fourth proportional to 231,778.78, 347,823.96 and 82,018.45 is: 123,082.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,778.78 : 347,823.96 = 82,018.45 : x
  2. Step 2: Convert to fraction form
    231,778.78/347,823.96 = 82,018.45/x
  3. Step 3: Cross multiply
    231,778.78x = 347,823.96 × 82,018.45
  4. Step 4: Simplify right side
    231,778.78x = 28,527,982,072.06
  5. Step 5: Solve for x
    x = 28,527,982,072.06/231,778.78
  6. Step 6: Final answer
    x = 123,082.80

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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.