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Finding the Fourth Proportional to 135,571.70, 187,093.74 and 81,846.22

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Solution

The fourth proportional to 135,571.70, 187,093.74 and 81,846.22 is: 112,950.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,571.70 : 187,093.74 = 81,846.22 : x
  2. Step 2: Convert to fraction form
    135,571.70/187,093.74 = 81,846.22/x
  3. Step 3: Cross multiply
    135,571.70x = 187,093.74 × 81,846.22
  4. Step 4: Simplify right side
    135,571.70x = 15,312,914,469.19
  5. Step 5: Solve for x
    x = 15,312,914,469.19/135,571.70
  6. Step 6: Final answer
    x = 112,950.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.