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Finding the Fourth Proportional to 202,121.88, 278,930.34 and 111,481.80

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Solution

The fourth proportional to 202,121.88, 278,930.34 and 111,481.80 is: 153,846.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,121.88 : 278,930.34 = 111,481.80 : x
  2. Step 2: Convert to fraction form
    202,121.88/278,930.34 = 111,481.80/x
  3. Step 3: Cross multiply
    202,121.88x = 278,930.34 × 111,481.80
  4. Step 4: Simplify right side
    202,121.88x = 31,095,656,377.81
  5. Step 5: Solve for x
    x = 31,095,656,377.81/202,121.88
  6. Step 6: Final answer
    x = 153,846.07

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1.5x scale

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.