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Finding the Fourth Proportional to 50,128, 75,192 and 15,067.69

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Solution

The fourth proportional to 50,128, 75,192 and 15,067.69 is: 22,601.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,128 : 75,192 = 15,067.69 : x
  2. Step 2: Convert to fraction form
    50,128/75,192 = 15,067.69/x
  3. Step 3: Cross multiply
    50,128x = 75,192 × 15,067.69
  4. Step 4: Simplify right side
    50,128x = 1,132,969,746.48
  5. Step 5: Solve for x
    x = 1,132,969,746.48/50,128
  6. Step 6: Final answer
    x = 22,601.54

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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.