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Finding the Fourth Proportional to 204,458.30, 306,687.45 and 161,811.80

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Solution

The fourth proportional to 204,458.30, 306,687.45 and 161,811.80 is: 242,717.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,458.30 : 306,687.45 = 161,811.80 : x
  2. Step 2: Convert to fraction form
    204,458.30/306,687.45 = 161,811.80/x
  3. Step 3: Cross multiply
    204,458.30x = 306,687.45 × 161,811.80
  4. Step 4: Simplify right side
    204,458.30x = 49,625,648,321.91
  5. Step 5: Solve for x
    x = 49,625,648,321.91/204,458.30
  6. Step 6: Final answer
    x = 242,717.70

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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.