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Finding the Fourth Proportional to 271,085.14, 406,593.01 and 71,420.95

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Solution

The fourth proportional to 271,085.14, 406,593.01 and 71,420.95 is: 107,122.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,085.14 : 406,593.01 = 71,420.95 : x
  2. Step 2: Convert to fraction form
    271,085.14/406,593.01 = 71,420.95/x
  3. Step 3: Cross multiply
    271,085.14x = 406,593.01 × 71,420.95
  4. Step 4: Simplify right side
    271,085.14x = 29,039,259,037.56
  5. Step 5: Solve for x
    x = 29,039,259,037.56/271,085.14
  6. Step 6: Final answer
    x = 107,122.28

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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.