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Finding the Fourth Proportional to 200,206.59, 300,100.65 and 66,977.25

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Solution

The fourth proportional to 200,206.59, 300,100.65 and 66,977.25 is: 100,395.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,206.59 : 300,100.65 = 66,977.25 : x
  2. Step 2: Convert to fraction form
    200,206.59/300,100.65 = 66,977.25/x
  3. Step 3: Cross multiply
    200,206.59x = 300,100.65 × 66,977.25
  4. Step 4: Simplify right side
    200,206.59x = 20,099,916,260.21
  5. Step 5: Solve for x
    x = 20,099,916,260.21/200,206.59
  6. Step 6: Final answer
    x = 100,395.88

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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.