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Finding the Fourth Proportional to 271,323.70, 406,755.90 and 102,751.10

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Solution

The fourth proportional to 271,323.70, 406,755.90 and 102,751.10 is: 154,039.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,323.70 : 406,755.90 = 102,751.10 : x
  2. Step 2: Convert to fraction form
    271,323.70/406,755.90 = 102,751.10/x
  3. Step 3: Cross multiply
    271,323.70x = 406,755.90 × 102,751.10
  4. Step 4: Simplify right side
    271,323.70x = 41,794,616,156.49
  5. Step 5: Solve for x
    x = 41,794,616,156.49/271,323.70
  6. Step 6: Final answer
    x = 154,039.68

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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.