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Finding the Fourth Proportional to 200,104.40, 299,767.80 and 111,198.80

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Solution

The fourth proportional to 200,104.40, 299,767.80 and 111,198.80 is: 166,582.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,104.40 : 299,767.80 = 111,198.80 : x
  2. Step 2: Convert to fraction form
    200,104.40/299,767.80 = 111,198.80/x
  3. Step 3: Cross multiply
    200,104.40x = 299,767.80 × 111,198.80
  4. Step 4: Simplify right side
    200,104.40x = 33,333,819,638.64
  5. Step 5: Solve for x
    x = 33,333,819,638.64/200,104.40
  6. Step 6: Final answer
    x = 166,582.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.