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Finding the Fourth Proportional to 140,003.50, 209,939.56 and 51,194.90

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Solution

The fourth proportional to 140,003.50, 209,939.56 and 51,194.90 is: 76,768.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,003.50 : 209,939.56 = 51,194.90 : x
  2. Step 2: Convert to fraction form
    140,003.50/209,939.56 = 51,194.90/x
  3. Step 3: Cross multiply
    140,003.50x = 209,939.56 × 51,194.90
  4. Step 4: Simplify right side
    140,003.50x = 10,747,834,780.24
  5. Step 5: Solve for x
    x = 10,747,834,780.24/140,003.50
  6. Step 6: Final answer
    x = 76,768.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.