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Finding the Fourth Proportional to 271,787.81, 407,520.72 and 82,190.70

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Solution

The fourth proportional to 271,787.81, 407,520.72 and 82,190.70 is: 123,237.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,787.81 : 407,520.72 = 82,190.70 : x
  2. Step 2: Convert to fraction form
    271,787.81/407,520.72 = 82,190.70/x
  3. Step 3: Cross multiply
    271,787.81x = 407,520.72 × 82,190.70
  4. Step 4: Simplify right side
    271,787.81x = 33,494,413,241.30
  5. Step 5: Solve for x
    x = 33,494,413,241.30/271,787.81
  6. Step 6: Final answer
    x = 123,237.37

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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.