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Finding the Fourth Proportional to 85,408.82, 117,864.37 and 47,167.67

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Solution

The fourth proportional to 85,408.82, 117,864.37 and 47,167.67 is: 65,091.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,408.82 : 117,864.37 = 47,167.67 : x
  2. Step 2: Convert to fraction form
    85,408.82/117,864.37 = 47,167.67/x
  3. Step 3: Cross multiply
    85,408.82x = 117,864.37 × 47,167.67
  4. Step 4: Simplify right side
    85,408.82x = 5,559,387,708.92
  5. Step 5: Solve for x
    x = 5,559,387,708.92/85,408.82
  6. Step 6: Final answer
    x = 65,091.49

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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.