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Finding the Fourth Proportional to 271,056.78, 406,608.66 and 71,375.58

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Solution

The fourth proportional to 271,056.78, 406,608.66 and 71,375.58 is: 107,069.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,056.78 : 406,608.66 = 71,375.58 : x
  2. Step 2: Convert to fraction form
    271,056.78/406,608.66 = 71,375.58/x
  3. Step 3: Cross multiply
    271,056.78x = 406,608.66 × 71,375.58
  4. Step 4: Simplify right side
    271,056.78x = 29,021,928,940.52
  5. Step 5: Solve for x
    x = 29,021,928,940.52/271,056.78
  6. Step 6: Final answer
    x = 107,069.56

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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.