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Finding the Fourth Proportional to 202,100.80, 278,952.87 and 119,387.23

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Solution

The fourth proportional to 202,100.80, 278,952.87 and 119,387.23 is: 164,786.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,100.80 : 278,952.87 = 119,387.23 : x
  2. Step 2: Convert to fraction form
    202,100.80/278,952.87 = 119,387.23/x
  3. Step 3: Cross multiply
    202,100.80x = 278,952.87 × 119,387.23
  4. Step 4: Simplify right side
    202,100.80x = 33,303,410,449.85
  5. Step 5: Solve for x
    x = 33,303,410,449.85/202,100.80
  6. Step 6: Final answer
    x = 164,786.14

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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.