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Finding the Fourth Proportional to 33,120.86, 49,703.60 and 12,344.36

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Solution

The fourth proportional to 33,120.86, 49,703.60 and 12,344.36 is: 18,524.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,120.86 : 49,703.60 = 12,344.36 : x
  2. Step 2: Convert to fraction form
    33,120.86/49,703.60 = 12,344.36/x
  3. Step 3: Cross multiply
    33,120.86x = 49,703.60 × 12,344.36
  4. Step 4: Simplify right side
    33,120.86x = 613,559,131.70
  5. Step 5: Solve for x
    x = 613,559,131.70/33,120.86
  6. Step 6: Final answer
    x = 18,524.86

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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.