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Finding the Fourth Proportional to 252,369.26, 378,427.39 and 83,830.49

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Solution

The fourth proportional to 252,369.26, 378,427.39 and 83,830.49 is: 125,703.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,369.26 : 378,427.39 = 83,830.49 : x
  2. Step 2: Convert to fraction form
    252,369.26/378,427.39 = 83,830.49/x
  3. Step 3: Cross multiply
    252,369.26x = 378,427.39 × 83,830.49
  4. Step 4: Simplify right side
    252,369.26x = 31,723,752,850.51
  5. Step 5: Solve for x
    x = 31,723,752,850.51/252,369.26
  6. Step 6: Final answer
    x = 125,703.71

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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.