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Finding the Fourth Proportional to 203,909.78, 305,983.15 and 83,978.80

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Solution

The fourth proportional to 203,909.78, 305,983.15 and 83,978.80 is: 126,016.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,909.78 : 305,983.15 = 83,978.80 : x
  2. Step 2: Convert to fraction form
    203,909.78/305,983.15 = 83,978.80/x
  3. Step 3: Cross multiply
    203,909.78x = 305,983.15 × 83,978.80
  4. Step 4: Simplify right side
    203,909.78x = 25,696,096,782.32
  5. Step 5: Solve for x
    x = 25,696,096,782.32/203,909.78
  6. Step 6: Final answer
    x = 126,016.99

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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.