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Finding the Fourth Proportional to 231,467.65, 347,229.21 and 81,677

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Solution

The fourth proportional to 231,467.65, 347,229.21 and 81,677 is: 122,525.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,467.65 : 347,229.21 = 81,677 : x
  2. Step 2: Convert to fraction form
    231,467.65/347,229.21 = 81,677/x
  3. Step 3: Cross multiply
    231,467.65x = 347,229.21 × 81,677
  4. Step 4: Simplify right side
    231,467.65x = 28,360,640,185.17
  5. Step 5: Solve for x
    x = 28,360,640,185.17/231,467.65
  6. Step 6: Final answer
    x = 122,525.29

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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.