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Finding the Fourth Proportional to 137,912.60, 206,868.90 and 137,037.80

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Solution

The fourth proportional to 137,912.60, 206,868.90 and 137,037.80 is: 205,556.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,912.60 : 206,868.90 = 137,037.80 : x
  2. Step 2: Convert to fraction form
    137,912.60/206,868.90 = 137,037.80/x
  3. Step 3: Cross multiply
    137,912.60x = 206,868.90 × 137,037.80
  4. Step 4: Simplify right side
    137,912.60x = 28,348,858,944.42
  5. Step 5: Solve for x
    x = 28,348,858,944.42/137,912.60
  6. Step 6: Final answer
    x = 205,556.70

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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.