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Finding the Fourth Proportional to 202,382.80, 279,287 and 111,737.97

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Solution

The fourth proportional to 202,382.80, 279,287 and 111,737.97 is: 154,197.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,382.80 : 279,287 = 111,737.97 : x
  2. Step 2: Convert to fraction form
    202,382.80/279,287 = 111,737.97/x
  3. Step 3: Cross multiply
    202,382.80x = 279,287 × 111,737.97
  4. Step 4: Simplify right side
    202,382.80x = 31,206,962,427.39
  5. Step 5: Solve for x
    x = 31,206,962,427.39/202,382.80
  6. Step 6: Final answer
    x = 154,197.70

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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.