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Finding the Fourth Proportional to 149,821, 206,754.60 and 82,753

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Solution

The fourth proportional to 149,821, 206,754.60 and 82,753 is: 114,200.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,821 : 206,754.60 = 82,753 : x
  2. Step 2: Convert to fraction form
    149,821/206,754.60 = 82,753/x
  3. Step 3: Cross multiply
    149,821x = 206,754.60 × 82,753
  4. Step 4: Simplify right side
    149,821x = 17,109,563,413.80
  5. Step 5: Solve for x
    x = 17,109,563,413.80/149,821
  6. Step 6: Final answer
    x = 114,200.03

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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.