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Finding the Fourth Proportional to 138,408.50, 207,593.94 and 54,110

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Solution

The fourth proportional to 138,408.50, 207,593.94 and 54,110 is: 81,157.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,408.50 : 207,593.94 = 54,110 : x
  2. Step 2: Convert to fraction form
    138,408.50/207,593.94 = 54,110/x
  3. Step 3: Cross multiply
    138,408.50x = 207,593.94 × 54,110
  4. Step 4: Simplify right side
    138,408.50x = 11,232,908,093.40
  5. Step 5: Solve for x
    x = 11,232,908,093.40/138,408.50
  6. Step 6: Final answer
    x = 81,157.65

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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.