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Finding the Fourth Proportional to 231,469.65, 347,232.21 and 81,679

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Solution

The fourth proportional to 231,469.65, 347,232.21 and 81,679 is: 122,528.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,469.65 : 347,232.21 = 81,679 : x
  2. Step 2: Convert to fraction form
    231,469.65/347,232.21 = 81,679/x
  3. Step 3: Cross multiply
    231,469.65x = 347,232.21 × 81,679
  4. Step 4: Simplify right side
    231,469.65x = 28,361,579,680.59
  5. Step 5: Solve for x
    x = 28,361,579,680.59/231,469.65
  6. Step 6: Final answer
    x = 122,528.29

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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.