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Finding the Fourth Proportional to 271,141.56, 406,630.22 and 81,551.57

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Solution

The fourth proportional to 271,141.56, 406,630.22 and 81,551.57 is: 122,302.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,141.56 : 406,630.22 = 81,551.57 : x
  2. Step 2: Convert to fraction form
    271,141.56/406,630.22 = 81,551.57/x
  3. Step 3: Cross multiply
    271,141.56x = 406,630.22 × 81,551.57
  4. Step 4: Simplify right side
    271,141.56x = 33,161,330,409.54
  5. Step 5: Solve for x
    x = 33,161,330,409.54/271,141.56
  6. Step 6: Final answer
    x = 122,302.65

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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.