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Finding the Fourth Proportional to 203,919.60, 305,879.40 and 85,821.60

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Solution

The fourth proportional to 203,919.60, 305,879.40 and 85,821.60 is: 128,732.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,919.60 : 305,879.40 = 85,821.60 : x
  2. Step 2: Convert to fraction form
    203,919.60/305,879.40 = 85,821.60/x
  3. Step 3: Cross multiply
    203,919.60x = 305,879.40 × 85,821.60
  4. Step 4: Simplify right side
    203,919.60x = 26,251,059,515.04
  5. Step 5: Solve for x
    x = 26,251,059,515.04/203,919.60
  6. Step 6: Final answer
    x = 128,732.40

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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.