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Finding the Fourth Proportional to 200,102.20, 300,080.40 and 66,986.80

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Solution

The fourth proportional to 200,102.20, 300,080.40 and 66,986.80 is: 100,455.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,102.20 : 300,080.40 = 66,986.80 : x
  2. Step 2: Convert to fraction form
    200,102.20/300,080.40 = 66,986.80/x
  3. Step 3: Cross multiply
    200,102.20x = 300,080.40 × 66,986.80
  4. Step 4: Simplify right side
    200,102.20x = 20,101,425,738.72
  5. Step 5: Solve for x
    x = 20,101,425,738.72/200,102.20
  6. Step 6: Final answer
    x = 100,455.80

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1.5x scale

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.