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Finding the Fourth Proportional to 271,679.40, 407,499.86 and 71,995.38

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Solution

The fourth proportional to 271,679.40, 407,499.86 and 71,995.38 is: 107,987.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,679.40 : 407,499.86 = 71,995.38 : x
  2. Step 2: Convert to fraction form
    271,679.40/407,499.86 = 71,995.38/x
  3. Step 3: Cross multiply
    271,679.40x = 407,499.86 × 71,995.38
  4. Step 4: Simplify right side
    271,679.40x = 29,338,107,270.65
  5. Step 5: Solve for x
    x = 29,338,107,270.65/271,679.40
  6. Step 6: Final answer
    x = 107,987.97

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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.