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Finding the Fourth Proportional to 207,651, 311,515.42 and 96,843

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Solution

The fourth proportional to 207,651, 311,515.42 and 96,843 is: 145,282.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,651 : 311,515.42 = 96,843 : x
  2. Step 2: Convert to fraction form
    207,651/311,515.42 = 96,843/x
  3. Step 3: Cross multiply
    207,651x = 311,515.42 × 96,843
  4. Step 4: Simplify right side
    207,651x = 30,168,087,819.06
  5. Step 5: Solve for x
    x = 30,168,087,819.06/207,651
  6. Step 6: Final answer
    x = 145,282.65

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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.