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Finding the Fourth Proportional to 85,419.74, 117,884.50 and 47,694

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Solution

The fourth proportional to 85,419.74, 117,884.50 and 47,694 is: 65,820.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,419.74 : 117,884.50 = 47,694 : x
  2. Step 2: Convert to fraction form
    85,419.74/117,884.50 = 47,694/x
  3. Step 3: Cross multiply
    85,419.74x = 117,884.50 × 47,694
  4. Step 4: Simplify right side
    85,419.74x = 5,622,383,343
  5. Step 5: Solve for x
    x = 5,622,383,343/85,419.74
  6. Step 6: Final answer
    x = 65,820.66

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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.