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Finding the Fourth Proportional to 78,378.74, 117,538.03 and 33,371.56

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Solution

The fourth proportional to 78,378.74, 117,538.03 and 33,371.56 is: 50,044.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,378.74 : 117,538.03 = 33,371.56 : x
  2. Step 2: Convert to fraction form
    78,378.74/117,538.03 = 33,371.56/x
  3. Step 3: Cross multiply
    78,378.74x = 117,538.03 × 33,371.56
  4. Step 4: Simplify right side
    78,378.74x = 3,922,427,845.78
  5. Step 5: Solve for x
    x = 3,922,427,845.78/78,378.74
  6. Step 6: Final answer
    x = 50,044.54

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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.