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Finding the Fourth Proportional to 50,438, 75,650.19 and 20,851.73

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Solution

The fourth proportional to 50,438, 75,650.19 and 20,851.73 is: 31,274.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,438 : 75,650.19 = 20,851.73 : x
  2. Step 2: Convert to fraction form
    50,438/75,650.19 = 20,851.73/x
  3. Step 3: Cross multiply
    50,438x = 75,650.19 × 20,851.73
  4. Step 4: Simplify right side
    50,438x = 1,577,437,336.33
  5. Step 5: Solve for x
    x = 1,577,437,336.33/50,438
  6. Step 6: Final answer
    x = 31,274.78

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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.