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Finding the Fourth Proportional to 207,151.56, 310,767.42 and 80,786.70

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Solution

The fourth proportional to 207,151.56, 310,767.42 and 80,786.70 is: 121,195.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,151.56 : 310,767.42 = 80,786.70 : x
  2. Step 2: Convert to fraction form
    207,151.56/310,767.42 = 80,786.70/x
  3. Step 3: Cross multiply
    207,151.56x = 310,767.42 × 80,786.70
  4. Step 4: Simplify right side
    207,151.56x = 25,105,874,329.31
  5. Step 5: Solve for x
    x = 25,105,874,329.31/207,151.56
  6. Step 6: Final answer
    x = 121,195.68

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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.