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Finding the Fourth Proportional to 135,910.80, 203,914.80 and 57,049.20

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Solution

The fourth proportional to 135,910.80, 203,914.80 and 57,049.20 is: 85,594.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,910.80 : 203,914.80 = 57,049.20 : x
  2. Step 2: Convert to fraction form
    135,910.80/203,914.80 = 57,049.20/x
  3. Step 3: Cross multiply
    135,910.80x = 203,914.80 × 57,049.20
  4. Step 4: Simplify right side
    135,910.80x = 11,633,176,208.16
  5. Step 5: Solve for x
    x = 11,633,176,208.16/135,910.80
  6. Step 6: Final answer
    x = 85,594.20

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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.