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Finding the Fourth Proportional to 208,165.80, 312,249.48 and 50,394

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Solution

The fourth proportional to 208,165.80, 312,249.48 and 50,394 is: 75,591.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,165.80 : 312,249.48 = 50,394 : x
  2. Step 2: Convert to fraction form
    208,165.80/312,249.48 = 50,394/x
  3. Step 3: Cross multiply
    208,165.80x = 312,249.48 × 50,394
  4. Step 4: Simplify right side
    208,165.80x = 15,735,500,295.12
  5. Step 5: Solve for x
    x = 15,735,500,295.12/208,165.80
  6. Step 6: Final answer
    x = 75,591.19

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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.