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Finding the Fourth Proportional to 91,906.75, 137,892.98 and 45,192.43

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Solution

The fourth proportional to 91,906.75, 137,892.98 and 45,192.43 is: 67,804.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,906.75 : 137,892.98 = 45,192.43 : x
  2. Step 2: Convert to fraction form
    91,906.75/137,892.98 = 45,192.43/x
  3. Step 3: Cross multiply
    91,906.75x = 137,892.98 × 45,192.43
  4. Step 4: Simplify right side
    91,906.75x = 6,231,718,846.14
  5. Step 5: Solve for x
    x = 6,231,718,846.14/91,906.75
  6. Step 6: Final answer
    x = 67,804.80

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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.