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Finding the Fourth Proportional to 138,745.50, 191,469.26 and 75,083.28

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Solution

The fourth proportional to 138,745.50, 191,469.26 and 75,083.28 is: 103,615.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,745.50 : 191,469.26 = 75,083.28 : x
  2. Step 2: Convert to fraction form
    138,745.50/191,469.26 = 75,083.28/x
  3. Step 3: Cross multiply
    138,745.50x = 191,469.26 × 75,083.28
  4. Step 4: Simplify right side
    138,745.50x = 14,376,140,059.97
  5. Step 5: Solve for x
    x = 14,376,140,059.97/138,745.50
  6. Step 6: Final answer
    x = 103,615.18

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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.