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Finding the Fourth Proportional to 202,757.26, 279,793.72 and 112,107.78

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Solution

The fourth proportional to 202,757.26, 279,793.72 and 112,107.78 is: 154,702.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,757.26 : 279,793.72 = 112,107.78 : x
  2. Step 2: Convert to fraction form
    202,757.26/279,793.72 = 112,107.78/x
  3. Step 3: Cross multiply
    202,757.26x = 279,793.72 × 112,107.78
  4. Step 4: Simplify right side
    202,757.26x = 31,367,052,807.14
  5. Step 5: Solve for x
    x = 31,367,052,807.14/202,757.26
  6. Step 6: Final answer
    x = 154,702.49

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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.