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Finding the Fourth Proportional to 271,609.70, 407,412.53 and 82,069.70

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Solution

The fourth proportional to 271,609.70, 407,412.53 and 82,069.70 is: 123,103.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,609.70 : 407,412.53 = 82,069.70 : x
  2. Step 2: Convert to fraction form
    271,609.70/407,412.53 = 82,069.70/x
  3. Step 3: Cross multiply
    271,609.70x = 407,412.53 × 82,069.70
  4. Step 4: Simplify right side
    271,609.70x = 33,436,223,702.99
  5. Step 5: Solve for x
    x = 33,436,223,702.99/271,609.70
  6. Step 6: Final answer
    x = 123,103.94

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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.