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Finding the Fourth Proportional to 206,103, 309,198.60 and 63,945.22

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Solution

The fourth proportional to 206,103, 309,198.60 and 63,945.22 is: 95,931.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,103 : 309,198.60 = 63,945.22 : x
  2. Step 2: Convert to fraction form
    206,103/309,198.60 = 63,945.22/x
  3. Step 3: Cross multiply
    206,103x = 309,198.60 × 63,945.22
  4. Step 4: Simplify right side
    206,103x = 19,771,772,500.69
  5. Step 5: Solve for x
    x = 19,771,772,500.69/206,103
  6. Step 6: Final answer
    x = 95,931.51

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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.