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Finding the Fourth Proportional to 200,049.60, 299,977.20 and 111,208.80

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Solution

The fourth proportional to 200,049.60, 299,977.20 and 111,208.80 is: 166,759.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,049.60 : 299,977.20 = 111,208.80 : x
  2. Step 2: Convert to fraction form
    200,049.60/299,977.20 = 111,208.80/x
  3. Step 3: Cross multiply
    200,049.60x = 299,977.20 × 111,208.80
  4. Step 4: Simplify right side
    200,049.60x = 33,360,104,439.36
  5. Step 5: Solve for x
    x = 33,360,104,439.36/200,049.60
  6. Step 6: Final answer
    x = 166,759.17

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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.