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Finding the Fourth Proportional to 147,947, 204,166.86 and 80,879

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Solution

The fourth proportional to 147,947, 204,166.86 and 80,879 is: 111,613.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,947 : 204,166.86 = 80,879 : x
  2. Step 2: Convert to fraction form
    147,947/204,166.86 = 80,879/x
  3. Step 3: Cross multiply
    147,947x = 204,166.86 × 80,879
  4. Step 4: Simplify right side
    147,947x = 16,512,811,469.94
  5. Step 5: Solve for x
    x = 16,512,811,469.94/147,947
  6. Step 6: Final answer
    x = 111,613.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.