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Finding the Fourth Proportional to 271,491.82, 407,296.24 and 81,936.32

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Solution

The fourth proportional to 271,491.82, 407,296.24 and 81,936.32 is: 122,922.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,491.82 : 407,296.24 = 81,936.32 : x
  2. Step 2: Convert to fraction form
    271,491.82/407,296.24 = 81,936.32/x
  3. Step 3: Cross multiply
    271,491.82x = 407,296.24 × 81,936.32
  4. Step 4: Simplify right side
    271,491.82x = 33,372,355,055.44
  5. Step 5: Solve for x
    x = 33,372,355,055.44/271,491.82
  6. Step 6: Final answer
    x = 122,922.14

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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.