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Finding the Fourth Proportional to 247,778.97, 341,905.96 and 145,782

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Solution

The fourth proportional to 247,778.97, 341,905.96 and 145,782 is: 201,162.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,778.97 : 341,905.96 = 145,782 : x
  2. Step 2: Convert to fraction form
    247,778.97/341,905.96 = 145,782/x
  3. Step 3: Cross multiply
    247,778.97x = 341,905.96 × 145,782
  4. Step 4: Simplify right side
    247,778.97x = 49,843,734,660.72
  5. Step 5: Solve for x
    x = 49,843,734,660.72/247,778.97
  6. Step 6: Final answer
    x = 201,162.09

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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.