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Finding the Fourth Proportional to 231,136.49, 318,962.21 and 129,162.78

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Solution

The fourth proportional to 231,136.49, 318,962.21 and 129,162.78 is: 178,241.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,136.49 : 318,962.21 = 129,162.78 : x
  2. Step 2: Convert to fraction form
    231,136.49/318,962.21 = 129,162.78/x
  3. Step 3: Cross multiply
    231,136.49x = 318,962.21 × 129,162.78
  4. Step 4: Simplify right side
    231,136.49x = 41,198,045,112.73
  5. Step 5: Solve for x
    x = 41,198,045,112.73/231,136.49
  6. Step 6: Final answer
    x = 178,241.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.