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Finding the Fourth Proportional to 149,213.13, 205,914.11 and 82,145.13

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Solution

The fourth proportional to 149,213.13, 205,914.11 and 82,145.13 is: 113,360.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,213.13 : 205,914.11 = 82,145.13 : x
  2. Step 2: Convert to fraction form
    149,213.13/205,914.11 = 82,145.13/x
  3. Step 3: Cross multiply
    149,213.13x = 205,914.11 × 82,145.13
  4. Step 4: Simplify right side
    149,213.13x = 16,914,841,334.78
  5. Step 5: Solve for x
    x = 16,914,841,334.78/149,213.13
  6. Step 6: Final answer
    x = 113,360.27

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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.