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Finding the Fourth Proportional to 91,812, 137,716.29 and 25,251.84

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Solution

The fourth proportional to 91,812, 137,716.29 and 25,251.84 is: 37,877.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,812 : 137,716.29 = 25,251.84 : x
  2. Step 2: Convert to fraction form
    91,812/137,716.29 = 25,251.84/x
  3. Step 3: Cross multiply
    91,812x = 137,716.29 × 25,251.84
  4. Step 4: Simplify right side
    91,812x = 3,477,589,720.47
  5. Step 5: Solve for x
    x = 3,477,589,720.47/91,812
  6. Step 6: Final answer
    x = 37,877.29

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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.