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Finding the Fourth Proportional to 78,591.67, 117,935.80 and 31,198.47

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Solution

The fourth proportional to 78,591.67, 117,935.80 and 31,198.47 is: 46,816.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,591.67 : 117,935.80 = 31,198.47 : x
  2. Step 2: Convert to fraction form
    78,591.67/117,935.80 = 31,198.47/x
  3. Step 3: Cross multiply
    78,591.67x = 117,935.80 × 31,198.47
  4. Step 4: Simplify right side
    78,591.67x = 3,679,415,997.97
  5. Step 5: Solve for x
    x = 3,679,415,997.97/78,591.67
  6. Step 6: Final answer
    x = 46,816.87

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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.