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Finding the Fourth Proportional to 149,793.72, 206,706.18 and 81,796.88

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Solution

The fourth proportional to 149,793.72, 206,706.18 and 81,796.88 is: 112,874.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,793.72 : 206,706.18 = 81,796.88 : x
  2. Step 2: Convert to fraction form
    149,793.72/206,706.18 = 81,796.88/x
  3. Step 3: Cross multiply
    149,793.72x = 206,706.18 × 81,796.88
  4. Step 4: Simplify right side
    149,793.72x = 16,907,919,873.93
  5. Step 5: Solve for x
    x = 16,907,919,873.93/149,793.72
  6. Step 6: Final answer
    x = 112,874.69

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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.