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Finding the Fourth Proportional to 138,946.48, 191,745.88 and 75,286

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Solution

The fourth proportional to 138,946.48, 191,745.88 and 75,286 is: 103,894.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,946.48 : 191,745.88 = 75,286 : x
  2. Step 2: Convert to fraction form
    138,946.48/191,745.88 = 75,286/x
  3. Step 3: Cross multiply
    138,946.48x = 191,745.88 × 75,286
  4. Step 4: Simplify right side
    138,946.48x = 14,435,780,321.68
  5. Step 5: Solve for x
    x = 14,435,780,321.68/138,946.48
  6. Step 6: Final answer
    x = 103,894.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.