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Finding the Fourth Proportional to 202,338, 279,226.80 and 111,694.05

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Solution

The fourth proportional to 202,338, 279,226.80 and 111,694.05 is: 154,137.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,338 : 279,226.80 = 111,694.05 : x
  2. Step 2: Convert to fraction form
    202,338/279,226.80 = 111,694.05/x
  3. Step 3: Cross multiply
    202,338x = 279,226.80 × 111,694.05
  4. Step 4: Simplify right side
    202,338x = 31,187,972,160.54
  5. Step 5: Solve for x
    x = 31,187,972,160.54/202,338
  6. Step 6: Final answer
    x = 154,137.99

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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.