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Finding the Fourth Proportional to 271,063.87, 406,968.20 and 138,033.52

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Solution

The fourth proportional to 271,063.87, 406,968.20 and 138,033.52 is: 207,239.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,063.87 : 406,968.20 = 138,033.52 : x
  2. Step 2: Convert to fraction form
    271,063.87/406,968.20 = 138,033.52/x
  3. Step 3: Cross multiply
    271,063.87x = 406,968.20 × 138,033.52
  4. Step 4: Simplify right side
    271,063.87x = 56,175,251,984.10
  5. Step 5: Solve for x
    x = 56,175,251,984.10/271,063.87
  6. Step 6: Final answer
    x = 207,239.91

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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.