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Finding the Fourth Proportional to 149,351.45, 206,104.91 and 82,283.45

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Solution

The fourth proportional to 149,351.45, 206,104.91 and 82,283.45 is: 113,551.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,351.45 : 206,104.91 = 82,283.45 : x
  2. Step 2: Convert to fraction form
    149,351.45/206,104.91 = 82,283.45/x
  3. Step 3: Cross multiply
    149,351.45x = 206,104.91 × 82,283.45
  4. Step 4: Simplify right side
    149,351.45x = 16,959,021,614.80
  5. Step 5: Solve for x
    x = 16,959,021,614.80/149,351.45
  6. Step 6: Final answer
    x = 113,551.11

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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.