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Finding the Fourth Proportional to 200,207.96, 300,102.72 and 66,978.62

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Solution

The fourth proportional to 200,207.96, 300,102.72 and 66,978.62 is: 100,397.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,207.96 : 300,102.72 = 66,978.62 : x
  2. Step 2: Convert to fraction form
    200,207.96/300,102.72 = 66,978.62/x
  3. Step 3: Cross multiply
    200,207.96x = 300,102.72 × 66,978.62
  4. Step 4: Simplify right side
    200,207.96x = 20,100,466,043.85
  5. Step 5: Solve for x
    x = 20,100,466,043.85/200,207.96
  6. Step 6: Final answer
    x = 100,397.94

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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.