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Finding the Fourth Proportional to 271,908.70, 408,112.02 and 138,882.20

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Solution

The fourth proportional to 271,908.70, 408,112.02 and 138,882.20 is: 208,450.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,908.70 : 408,112.02 = 138,882.20 : x
  2. Step 2: Convert to fraction form
    271,908.70/408,112.02 = 138,882.20/x
  3. Step 3: Cross multiply
    271,908.70x = 408,112.02 × 138,882.20
  4. Step 4: Simplify right side
    271,908.70x = 56,679,493,143.48
  5. Step 5: Solve for x
    x = 56,679,493,143.48/271,908.70
  6. Step 6: Final answer
    x = 208,450.46

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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.