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Finding the Fourth Proportional to 149,846.71, 206,788.45 and 82,778.71

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Solution

The fourth proportional to 149,846.71, 206,788.45 and 82,778.71 is: 114,234.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,846.71 : 206,788.45 = 82,778.71 : x
  2. Step 2: Convert to fraction form
    149,846.71/206,788.45 = 82,778.71/x
  3. Step 3: Cross multiply
    149,846.71x = 206,788.45 × 82,778.71
  4. Step 4: Simplify right side
    149,846.71x = 17,117,680,099.96
  5. Step 5: Solve for x
    x = 17,117,680,099.96/149,846.71
  6. Step 6: Final answer
    x = 114,234.61

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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.