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Finding the Fourth Proportional to 206,615.40, 309,923.10 and 122,634.60

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Solution

The fourth proportional to 206,615.40, 309,923.10 and 122,634.60 is: 183,951.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,615.40 : 309,923.10 = 122,634.60 : x
  2. Step 2: Convert to fraction form
    206,615.40/309,923.10 = 122,634.60/x
  3. Step 3: Cross multiply
    206,615.40x = 309,923.10 × 122,634.60
  4. Step 4: Simplify right side
    206,615.40x = 38,007,295,399.26
  5. Step 5: Solve for x
    x = 38,007,295,399.26/206,615.40
  6. Step 6: Final answer
    x = 183,951.90

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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.