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Finding the Fourth Proportional to 137,718.20, 206,285.70 and 120,222.20

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Solution

The fourth proportional to 137,718.20, 206,285.70 and 120,222.20 is: 180,078.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,718.20 : 206,285.70 = 120,222.20 : x
  2. Step 2: Convert to fraction form
    137,718.20/206,285.70 = 120,222.20/x
  3. Step 3: Cross multiply
    137,718.20x = 206,285.70 × 120,222.20
  4. Step 4: Simplify right side
    137,718.20x = 24,800,120,682.54
  5. Step 5: Solve for x
    x = 24,800,120,682.54/137,718.20
  6. Step 6: Final answer
    x = 180,078.75

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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.