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Finding the Fourth Proportional to 200,506.59, 300,736.46 and 80,558.68

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Solution

The fourth proportional to 200,506.59, 300,736.46 and 80,558.68 is: 120,828.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,506.59 : 300,736.46 = 80,558.68 : x
  2. Step 2: Convert to fraction form
    200,506.59/300,736.46 = 80,558.68/x
  3. Step 3: Cross multiply
    200,506.59x = 300,736.46 × 80,558.68
  4. Step 4: Simplify right side
    200,506.59x = 24,226,932,245.47
  5. Step 5: Solve for x
    x = 24,226,932,245.47/200,506.59
  6. Step 6: Final answer
    x = 120,828.61

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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.