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Finding the Fourth Proportional to 33,400, 50,103.32 and 12,345.56

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Solution

The fourth proportional to 33,400, 50,103.32 and 12,345.56 is: 18,519.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,400 : 50,103.32 = 12,345.56 : x
  2. Step 2: Convert to fraction form
    33,400/50,103.32 = 12,345.56/x
  3. Step 3: Cross multiply
    33,400x = 50,103.32 × 12,345.56
  4. Step 4: Simplify right side
    33,400x = 618,553,543.26
  5. Step 5: Solve for x
    x = 618,553,543.26/33,400
  6. Step 6: Final answer
    x = 18,519.57

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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.