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Finding the Fourth Proportional to 271,692.09, 407,405.61 and 82,115.91

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Solution

The fourth proportional to 271,692.09, 407,405.61 and 82,115.91 is: 123,133.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,692.09 : 407,405.61 = 82,115.91 : x
  2. Step 2: Convert to fraction form
    271,692.09/407,405.61 = 82,115.91/x
  3. Step 3: Cross multiply
    271,692.09x = 407,405.61 × 82,115.91
  4. Step 4: Simplify right side
    271,692.09x = 33,454,482,404.26
  5. Step 5: Solve for x
    x = 33,454,482,404.26/271,692.09
  6. Step 6: Final answer
    x = 123,133.81

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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.