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Finding the Fourth Proportional to 50,911, 76,367.94 and 13,975

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Solution

The fourth proportional to 50,911, 76,367.94 and 13,975 is: 20,962.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,911 : 76,367.94 = 13,975 : x
  2. Step 2: Convert to fraction form
    50,911/76,367.94 = 13,975/x
  3. Step 3: Cross multiply
    50,911x = 76,367.94 × 13,975
  4. Step 4: Simplify right side
    50,911x = 1,067,241,961.50
  5. Step 5: Solve for x
    x = 1,067,241,961.50/50,911
  6. Step 6: Final answer
    x = 20,962.90

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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.