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Finding the Fourth Proportional to 91,474.25, 137,033.80 and 67,414.84

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Solution

The fourth proportional to 91,474.25, 137,033.80 and 67,414.84 is: 100,991.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,474.25 : 137,033.80 = 67,414.84 : x
  2. Step 2: Convert to fraction form
    91,474.25/137,033.80 = 67,414.84/x
  3. Step 3: Cross multiply
    91,474.25x = 137,033.80 × 67,414.84
  4. Step 4: Simplify right side
    91,474.25x = 9,238,111,190.47
  5. Step 5: Solve for x
    x = 9,238,111,190.47/91,474.25
  6. Step 6: Final answer
    x = 100,991.39

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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.