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Finding the Fourth Proportional to 85,067.80, 117,392.41 and 47,342.05

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Solution

The fourth proportional to 85,067.80, 117,392.41 and 47,342.05 is: 65,331.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,067.80 : 117,392.41 = 47,342.05 : x
  2. Step 2: Convert to fraction form
    85,067.80/117,392.41 = 47,342.05/x
  3. Step 3: Cross multiply
    85,067.80x = 117,392.41 × 47,342.05
  4. Step 4: Simplify right side
    85,067.80x = 5,557,597,343.84
  5. Step 5: Solve for x
    x = 5,557,597,343.84/85,067.80
  6. Step 6: Final answer
    x = 65,331.39

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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.