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Finding the Fourth Proportional to 205,963.20, 308,944.80 and 117,489.60

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Solution

The fourth proportional to 205,963.20, 308,944.80 and 117,489.60 is: 176,234.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,963.20 : 308,944.80 = 117,489.60 : x
  2. Step 2: Convert to fraction form
    205,963.20/308,944.80 = 117,489.60/x
  3. Step 3: Cross multiply
    205,963.20x = 308,944.80 × 117,489.60
  4. Step 4: Simplify right side
    205,963.20x = 36,297,800,974.08
  5. Step 5: Solve for x
    x = 36,297,800,974.08/205,963.20
  6. Step 6: Final answer
    x = 176,234.40

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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.