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Finding the Fourth Proportional to 137,255.70, 205,919.06 and 80,377.65

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Solution

The fourth proportional to 137,255.70, 205,919.06 and 80,377.65 is: 120,587.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,255.70 : 205,919.06 = 80,377.65 : x
  2. Step 2: Convert to fraction form
    137,255.70/205,919.06 = 80,377.65/x
  3. Step 3: Cross multiply
    137,255.70x = 205,919.06 × 80,377.65
  4. Step 4: Simplify right side
    137,255.70x = 16,551,289,731.12
  5. Step 5: Solve for x
    x = 16,551,289,731.12/137,255.70
  6. Step 6: Final answer
    x = 120,587.26

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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.