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Finding the Fourth Proportional to 149,843.80, 206,908.86 and 99,770.20

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Solution

The fourth proportional to 149,843.80, 206,908.86 and 99,770.20 is: 137,765.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,843.80 : 206,908.86 = 99,770.20 : x
  2. Step 2: Convert to fraction form
    149,843.80/206,908.86 = 99,770.20/x
  3. Step 3: Cross multiply
    149,843.80x = 206,908.86 × 99,770.20
  4. Step 4: Simplify right side
    149,843.80x = 20,643,338,343.97
  5. Step 5: Solve for x
    x = 20,643,338,343.97/149,843.80
  6. Step 6: Final answer
    x = 137,765.72

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1.5x scale

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.