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Finding the Fourth Proportional to 200,207.46, 300,101.97 and 66,978.12

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Solution

The fourth proportional to 200,207.46, 300,101.97 and 66,978.12 is: 100,397.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,207.46 : 300,101.97 = 66,978.12 : x
  2. Step 2: Convert to fraction form
    200,207.46/300,101.97 = 66,978.12/x
  3. Step 3: Cross multiply
    200,207.46x = 300,101.97 × 66,978.12
  4. Step 4: Simplify right side
    200,207.46x = 20,100,265,758.90
  5. Step 5: Solve for x
    x = 20,100,265,758.90/200,207.46
  6. Step 6: Final answer
    x = 100,397.19

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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.