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Finding the Fourth Proportional to 200,081.30, 300,121.96 and 81,752.54

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Solution

The fourth proportional to 200,081.30, 300,121.96 and 81,752.54 is: 122,628.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,081.30 : 300,121.96 = 81,752.54 : x
  2. Step 2: Convert to fraction form
    200,081.30/300,121.96 = 81,752.54/x
  3. Step 3: Cross multiply
    200,081.30x = 300,121.96 × 81,752.54
  4. Step 4: Simplify right side
    200,081.30x = 24,535,730,834.79
  5. Step 5: Solve for x
    x = 24,535,730,834.79/200,081.30
  6. Step 6: Final answer
    x = 122,628.80

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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.