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Finding the Fourth Proportional to 137,578.59, 206,333.26 and 53,309.84

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Solution

The fourth proportional to 137,578.59, 206,333.26 and 53,309.84 is: 79,951.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,578.59 : 206,333.26 = 53,309.84 : x
  2. Step 2: Convert to fraction form
    137,578.59/206,333.26 = 53,309.84/x
  3. Step 3: Cross multiply
    137,578.59x = 206,333.26 × 53,309.84
  4. Step 4: Simplify right side
    137,578.59x = 10,999,591,912.34
  5. Step 5: Solve for x
    x = 10,999,591,912.34/137,578.59
  6. Step 6: Final answer
    x = 79,951.33

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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.