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Finding the Fourth Proportional to 207,190.98, 310,715.82 and 80,821.26

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Solution

The fourth proportional to 207,190.98, 310,715.82 and 80,821.26 is: 121,204.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,190.98 : 310,715.82 = 80,821.26 : x
  2. Step 2: Convert to fraction form
    207,190.98/310,715.82 = 80,821.26/x
  3. Step 3: Cross multiply
    207,190.98x = 310,715.82 × 80,821.26
  4. Step 4: Simplify right side
    207,190.98x = 25,112,444,074.33
  5. Step 5: Solve for x
    x = 25,112,444,074.33/207,190.98
  6. Step 6: Final answer
    x = 121,204.33

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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.