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Finding the Fourth Proportional to 135,830.20, 203,745.30 and 100,838.20

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Solution

The fourth proportional to 135,830.20, 203,745.30 and 100,838.20 is: 151,257.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,830.20 : 203,745.30 = 100,838.20 : x
  2. Step 2: Convert to fraction form
    135,830.20/203,745.30 = 100,838.20/x
  3. Step 3: Cross multiply
    135,830.20x = 203,745.30 × 100,838.20
  4. Step 4: Simplify right side
    135,830.20x = 20,545,309,310.46
  5. Step 5: Solve for x
    x = 20,545,309,310.46/135,830.20
  6. Step 6: Final answer
    x = 151,257.30

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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.