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Finding the Fourth Proportional to 271,161.27, 406,470.96 and 128,755.98

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Solution

The fourth proportional to 271,161.27, 406,470.96 and 128,755.98 is: 193,005.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,161.27 : 406,470.96 = 128,755.98 : x
  2. Step 2: Convert to fraction form
    271,161.27/406,470.96 = 128,755.98/x
  3. Step 3: Cross multiply
    271,161.27x = 406,470.96 × 128,755.98
  4. Step 4: Simplify right side
    271,161.27x = 52,335,566,796.34
  5. Step 5: Solve for x
    x = 52,335,566,796.34/271,161.27
  6. Step 6: Final answer
    x = 193,005.32

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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.