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Finding the Fourth Proportional to 202,198.67, 278,984.31 and 123,596.80

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Solution

The fourth proportional to 202,198.67, 278,984.31 and 123,596.80 is: 170,533.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,198.67 : 278,984.31 = 123,596.80 : x
  2. Step 2: Convert to fraction form
    202,198.67/278,984.31 = 123,596.80/x
  3. Step 3: Cross multiply
    202,198.67x = 278,984.31 × 123,596.80
  4. Step 4: Simplify right side
    202,198.67x = 34,481,567,966.21
  5. Step 5: Solve for x
    x = 34,481,567,966.21/202,198.67
  6. Step 6: Final answer
    x = 170,533.11

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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.