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Finding the Fourth Proportional to 202,296, 279,168.48 and 112,872

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Solution

The fourth proportional to 202,296, 279,168.48 and 112,872 is: 155,763.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,296 : 279,168.48 = 112,872 : x
  2. Step 2: Convert to fraction form
    202,296/279,168.48 = 112,872/x
  3. Step 3: Cross multiply
    202,296x = 279,168.48 × 112,872
  4. Step 4: Simplify right side
    202,296x = 31,510,304,674.56
  5. Step 5: Solve for x
    x = 31,510,304,674.56/202,296
  6. Step 6: Final answer
    x = 155,763.36

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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.