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Finding the Fourth Proportional to 231,781.56, 347,828.16 and 82,021.20

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Solution

The fourth proportional to 231,781.56, 347,828.16 and 82,021.20 is: 123,086.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,781.56 : 347,828.16 = 82,021.20 : x
  2. Step 2: Convert to fraction form
    231,781.56/347,828.16 = 82,021.20/x
  3. Step 3: Cross multiply
    231,781.56x = 347,828.16 × 82,021.20
  4. Step 4: Simplify right side
    231,781.56x = 28,529,283,076.99
  5. Step 5: Solve for x
    x = 28,529,283,076.99/231,781.56
  6. Step 6: Final answer
    x = 123,086.94

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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.