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Finding the Fourth Proportional to 78,341.32, 117,481.99 and 33,334.52

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Solution

The fourth proportional to 78,341.32, 117,481.99 and 33,334.52 is: 49,989.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,341.32 : 117,481.99 = 33,334.52 : x
  2. Step 2: Convert to fraction form
    78,341.32/117,481.99 = 33,334.52/x
  3. Step 3: Cross multiply
    78,341.32x = 117,481.99 × 33,334.52
  4. Step 4: Simplify right side
    78,341.32x = 3,916,206,375.55
  5. Step 5: Solve for x
    x = 3,916,206,375.55/78,341.32
  6. Step 6: Final answer
    x = 49,989.03

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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.