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Finding the Fourth Proportional to 231,466.65, 347,227.71 and 81,676

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Solution

The fourth proportional to 231,466.65, 347,227.71 and 81,676 is: 122,523.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,466.65 : 347,227.71 = 81,676 : x
  2. Step 2: Convert to fraction form
    231,466.65/347,227.71 = 81,676/x
  3. Step 3: Cross multiply
    231,466.65x = 347,227.71 × 81,676
  4. Step 4: Simplify right side
    231,466.65x = 28,360,170,441.96
  5. Step 5: Solve for x
    x = 28,360,170,441.96/231,466.65
  6. Step 6: Final answer
    x = 122,523.79

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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.