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Finding the Fourth Proportional to 271,687.70, 407,513.32 and 72,003.80

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Solution

The fourth proportional to 271,687.70, 407,513.32 and 72,003.80 is: 108,000.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,687.70 : 407,513.32 = 72,003.80 : x
  2. Step 2: Convert to fraction form
    271,687.70/407,513.32 = 72,003.80/x
  3. Step 3: Cross multiply
    271,687.70x = 407,513.32 × 72,003.80
  4. Step 4: Simplify right side
    271,687.70x = 29,342,507,590.62
  5. Step 5: Solve for x
    x = 29,342,507,590.62/271,687.70
  6. Step 6: Final answer
    x = 108,000.87

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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.