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Finding the Fourth Proportional to 271,403.39, 406,995.69 and 81,805.07

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Solution

The fourth proportional to 271,403.39, 406,995.69 and 81,805.07 is: 122,674.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,403.39 : 406,995.69 = 81,805.07 : x
  2. Step 2: Convert to fraction form
    271,403.39/406,995.69 = 81,805.07/x
  3. Step 3: Cross multiply
    271,403.39x = 406,995.69 × 81,805.07
  4. Step 4: Simplify right side
    271,403.39x = 33,294,310,910.15
  5. Step 5: Solve for x
    x = 33,294,310,910.15/271,403.39
  6. Step 6: Final answer
    x = 122,674.63

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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.