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Finding the Fourth Proportional to 203,415.80, 305,123.70 and 128,766.20

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Solution

The fourth proportional to 203,415.80, 305,123.70 and 128,766.20 is: 193,149.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,415.80 : 305,123.70 = 128,766.20 : x
  2. Step 2: Convert to fraction form
    203,415.80/305,123.70 = 128,766.20/x
  3. Step 3: Cross multiply
    203,415.80x = 305,123.70 × 128,766.20
  4. Step 4: Simplify right side
    203,415.80x = 39,289,619,378.94
  5. Step 5: Solve for x
    x = 39,289,619,378.94/203,415.80
  6. Step 6: Final answer
    x = 193,149.30

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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.