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Finding the Fourth Proportional to 207,839, 311,747.22 and 81,501.92

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Solution

The fourth proportional to 207,839, 311,747.22 and 81,501.92 is: 122,248.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,839 : 311,747.22 = 81,501.92 : x
  2. Step 2: Convert to fraction form
    207,839/311,747.22 = 81,501.92/x
  3. Step 3: Cross multiply
    207,839x = 311,747.22 × 81,501.92
  4. Step 4: Simplify right side
    207,839x = 25,407,996,984.66
  5. Step 5: Solve for x
    x = 25,407,996,984.66/207,839
  6. Step 6: Final answer
    x = 122,248.46

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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.