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Finding the Fourth Proportional to 205,375.78, 283,408.40 and 114,713.69

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Solution

The fourth proportional to 205,375.78, 283,408.40 and 114,713.69 is: 158,299.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,375.78 : 283,408.40 = 114,713.69 : x
  2. Step 2: Convert to fraction form
    205,375.78/283,408.40 = 114,713.69/x
  3. Step 3: Cross multiply
    205,375.78x = 283,408.40 × 114,713.69
  4. Step 4: Simplify right side
    205,375.78x = 32,510,822,767.43
  5. Step 5: Solve for x
    x = 32,510,822,767.43/205,375.78
  6. Step 6: Final answer
    x = 158,299.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.