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Finding the Fourth Proportional to 91,644.24, 137,444.49 and 66,974.88

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Solution

The fourth proportional to 91,644.24, 137,444.49 and 66,974.88 is: 100,446.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,644.24 : 137,444.49 = 66,974.88 : x
  2. Step 2: Convert to fraction form
    91,644.24/137,444.49 = 66,974.88/x
  3. Step 3: Cross multiply
    91,644.24x = 137,444.49 × 66,974.88
  4. Step 4: Simplify right side
    91,644.24x = 9,205,328,224.41
  5. Step 5: Solve for x
    x = 9,205,328,224.41/91,644.24
  6. Step 6: Final answer
    x = 100,446.34

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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.