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Finding the Fourth Proportional to 271,342.30, 407,072.22 and 81,786.81

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Solution

The fourth proportional to 271,342.30, 407,072.22 and 81,786.81 is: 122,697.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,342.30 : 407,072.22 = 81,786.81 : x
  2. Step 2: Convert to fraction form
    271,342.30/407,072.22 = 81,786.81/x
  3. Step 3: Cross multiply
    271,342.30x = 407,072.22 × 81,786.81
  4. Step 4: Simplify right side
    271,342.30x = 33,293,136,278.06
  5. Step 5: Solve for x
    x = 33,293,136,278.06/271,342.30
  6. Step 6: Final answer
    x = 122,697.92

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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.