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Finding the Fourth Proportional to 100,041, 138,059.14 and 60,299.56

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Solution

The fourth proportional to 100,041, 138,059.14 and 60,299.56 is: 83,214.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,041 : 138,059.14 = 60,299.56 : x
  2. Step 2: Convert to fraction form
    100,041/138,059.14 = 60,299.56/x
  3. Step 3: Cross multiply
    100,041x = 138,059.14 × 60,299.56
  4. Step 4: Simplify right side
    100,041x = 8,324,905,395.98
  5. Step 5: Solve for x
    x = 8,324,905,395.98/100,041
  6. Step 6: Final answer
    x = 83,214.94

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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.