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Finding the Fourth Proportional to 203,819.76, 305,331.84 and 133,485.84

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Solution

The fourth proportional to 203,819.76, 305,331.84 and 133,485.84 is: 199,968.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,819.76 : 305,331.84 = 133,485.84 : x
  2. Step 2: Convert to fraction form
    203,819.76/305,331.84 = 133,485.84/x
  3. Step 3: Cross multiply
    203,819.76x = 305,331.84 × 133,485.84
  4. Step 4: Simplify right side
    203,819.76x = 40,757,477,141.15
  5. Step 5: Solve for x
    x = 40,757,477,141.15/203,819.76
  6. Step 6: Final answer
    x = 199,968.23

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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.