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Finding the Fourth Proportional to 203,984.66, 305,786.76 and 68,954.78

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Solution

The fourth proportional to 203,984.66, 305,786.76 and 68,954.78 is: 103,367.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,984.66 : 305,786.76 = 68,954.78 : x
  2. Step 2: Convert to fraction form
    203,984.66/305,786.76 = 68,954.78/x
  3. Step 3: Cross multiply
    203,984.66x = 305,786.76 × 68,954.78
  4. Step 4: Simplify right side
    203,984.66x = 21,085,458,762.71
  5. Step 5: Solve for x
    x = 21,085,458,762.71/203,984.66
  6. Step 6: Final answer
    x = 103,367.86

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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.