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Finding the Fourth Proportional to 202,317.78, 279,198.57 and 111,673.79

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Solution

The fourth proportional to 202,317.78, 279,198.57 and 111,673.79 is: 154,109.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,317.78 : 279,198.57 = 111,673.79 : x
  2. Step 2: Convert to fraction form
    202,317.78/279,198.57 = 111,673.79/x
  3. Step 3: Cross multiply
    202,317.78x = 279,198.57 × 111,673.79
  4. Step 4: Simplify right side
    202,317.78x = 31,179,162,544.26
  5. Step 5: Solve for x
    x = 31,179,162,544.26/202,317.78
  6. Step 6: Final answer
    x = 154,109.85

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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.