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Finding the Fourth Proportional to 33,403.19, 50,104.78 and 13,421.84

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Solution

The fourth proportional to 33,403.19, 50,104.78 and 13,421.84 is: 20,132.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,403.19 : 50,104.78 = 13,421.84 : x
  2. Step 2: Convert to fraction form
    33,403.19/50,104.78 = 13,421.84/x
  3. Step 3: Cross multiply
    33,403.19x = 50,104.78 × 13,421.84
  4. Step 4: Simplify right side
    33,403.19x = 672,498,056.32
  5. Step 5: Solve for x
    x = 672,498,056.32/33,403.19
  6. Step 6: Final answer
    x = 20,132.75

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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.