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Finding the Fourth Proportional to 137,100.80, 205,772.70 and 80,870.60

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Solution

The fourth proportional to 137,100.80, 205,772.70 and 80,870.60 is: 121,377.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,100.80 : 205,772.70 = 80,870.60 : x
  2. Step 2: Convert to fraction form
    137,100.80/205,772.70 = 80,870.60/x
  3. Step 3: Cross multiply
    137,100.80x = 205,772.70 × 80,870.60
  4. Step 4: Simplify right side
    137,100.80x = 16,640,961,712.62
  5. Step 5: Solve for x
    x = 16,640,961,712.62/137,100.80
  6. Step 6: Final answer
    x = 121,377.57

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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.