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Finding the Fourth Proportional to 138,745.47, 191,469.23 and 75,083.25

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Solution

The fourth proportional to 138,745.47, 191,469.23 and 75,083.25 is: 103,615.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,745.47 : 191,469.23 = 75,083.25 : x
  2. Step 2: Convert to fraction form
    138,745.47/191,469.23 = 75,083.25/x
  3. Step 3: Cross multiply
    138,745.47x = 191,469.23 × 75,083.25
  4. Step 4: Simplify right side
    138,745.47x = 14,376,131,687.98
  5. Step 5: Solve for x
    x = 14,376,131,687.98/138,745.47
  6. Step 6: Final answer
    x = 103,615.14

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1.5x scale

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.