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Finding the Fourth Proportional to 271,034.13, 406,923.57 and 138,003.78

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Solution

The fourth proportional to 271,034.13, 406,923.57 and 138,003.78 is: 207,195.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,034.13 : 406,923.57 = 138,003.78 : x
  2. Step 2: Convert to fraction form
    271,034.13/406,923.57 = 138,003.78/x
  3. Step 3: Cross multiply
    271,034.13x = 406,923.57 × 138,003.78
  4. Step 4: Simplify right side
    271,034.13x = 56,156,990,831.09
  5. Step 5: Solve for x
    x = 56,156,990,831.09/271,034.13
  6. Step 6: Final answer
    x = 207,195.27

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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.