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Finding the Fourth Proportional to 149,072.99, 205,724.48 and 81,093.78

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Solution

The fourth proportional to 149,072.99, 205,724.48 and 81,093.78 is: 111,911.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,072.99 : 205,724.48 = 81,093.78 : x
  2. Step 2: Convert to fraction form
    149,072.99/205,724.48 = 81,093.78/x
  3. Step 3: Cross multiply
    149,072.99x = 205,724.48 × 81,093.78
  4. Step 4: Simplify right side
    149,072.99x = 16,682,975,316.27
  5. Step 5: Solve for x
    x = 16,682,975,316.27/149,072.99
  6. Step 6: Final answer
    x = 111,911.46

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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.