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Finding the Fourth Proportional to 136,644, 204,966 and 43,149.75

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Solution

The fourth proportional to 136,644, 204,966 and 43,149.75 is: 64,724.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,644 : 204,966 = 43,149.75 : x
  2. Step 2: Convert to fraction form
    136,644/204,966 = 43,149.75/x
  3. Step 3: Cross multiply
    136,644x = 204,966 × 43,149.75
  4. Step 4: Simplify right side
    136,644x = 8,844,231,658.50
  5. Step 5: Solve for x
    x = 8,844,231,658.50/136,644
  6. Step 6: Final answer
    x = 64,724.63

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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.