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Finding the Fourth Proportional to 75,408.22, 113,641.96 and 67,921.16

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Solution

The fourth proportional to 75,408.22, 113,641.96 and 67,921.16 is: 102,358.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,408.22 : 113,641.96 = 67,921.16 : x
  2. Step 2: Convert to fraction form
    75,408.22/113,641.96 = 67,921.16/x
  3. Step 3: Cross multiply
    75,408.22x = 113,641.96 × 67,921.16
  4. Step 4: Simplify right side
    75,408.22x = 7,718,693,747.87
  5. Step 5: Solve for x
    x = 7,718,693,747.87/75,408.22
  6. Step 6: Final answer
    x = 102,358.78

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.