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Finding the Fourth Proportional to 203,414.60, 305,208.30 and 98,179.40

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Solution

The fourth proportional to 203,414.60, 305,208.30 and 98,179.40 is: 147,310.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,414.60 : 305,208.30 = 98,179.40 : x
  2. Step 2: Convert to fraction form
    203,414.60/305,208.30 = 98,179.40/x
  3. Step 3: Cross multiply
    203,414.60x = 305,208.30 × 98,179.40
  4. Step 4: Simplify right side
    203,414.60x = 29,965,167,769.02
  5. Step 5: Solve for x
    x = 29,965,167,769.02/203,414.60
  6. Step 6: Final answer
    x = 147,310.80

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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.