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Finding the Fourth Proportional to 202,286.98, 278,998.24 and 129,696.81

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Solution

The fourth proportional to 202,286.98, 278,998.24 and 129,696.81 is: 178,880.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,286.98 : 278,998.24 = 129,696.81 : x
  2. Step 2: Convert to fraction form
    202,286.98/278,998.24 = 129,696.81/x
  3. Step 3: Cross multiply
    202,286.98x = 278,998.24 × 129,696.81
  4. Step 4: Simplify right side
    202,286.98x = 36,185,181,723.61
  5. Step 5: Solve for x
    x = 36,185,181,723.61/202,286.98
  6. Step 6: Final answer
    x = 178,880.43

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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.