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Finding the Fourth Proportional to 137,738.60, 206,219.10 and 133,850.60

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Solution

The fourth proportional to 137,738.60, 206,219.10 and 133,850.60 is: 200,398.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,738.60 : 206,219.10 = 133,850.60 : x
  2. Step 2: Convert to fraction form
    137,738.60/206,219.10 = 133,850.60/x
  3. Step 3: Cross multiply
    137,738.60x = 206,219.10 × 133,850.60
  4. Step 4: Simplify right side
    137,738.60x = 27,602,550,266.46
  5. Step 5: Solve for x
    x = 27,602,550,266.46/137,738.60
  6. Step 6: Final answer
    x = 200,398.07

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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.