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Finding the Fourth Proportional to 137,763.45, 206,724.01 and 53,512.71

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Solution

The fourth proportional to 137,763.45, 206,724.01 and 53,512.71 is: 80,299.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,763.45 : 206,724.01 = 53,512.71 : x
  2. Step 2: Convert to fraction form
    137,763.45/206,724.01 = 53,512.71/x
  3. Step 3: Cross multiply
    137,763.45x = 206,724.01 × 53,512.71
  4. Step 4: Simplify right side
    137,763.45x = 11,062,361,997.17
  5. Step 5: Solve for x
    x = 11,062,361,997.17/137,763.45
  6. Step 6: Final answer
    x = 80,299.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.