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Finding the Fourth Proportional to 271,695.09, 407,410.11 and 82,118.91

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Solution

The fourth proportional to 271,695.09, 407,410.11 and 82,118.91 is: 123,138.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,695.09 : 407,410.11 = 82,118.91 : x
  2. Step 2: Convert to fraction form
    271,695.09/407,410.11 = 82,118.91/x
  3. Step 3: Cross multiply
    271,695.09x = 407,410.11 × 82,118.91
  4. Step 4: Simplify right side
    271,695.09x = 33,456,074,156.18
  5. Step 5: Solve for x
    x = 33,456,074,156.18/271,695.09
  6. Step 6: Final answer
    x = 123,138.31

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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.