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Finding the Fourth Proportional to 78,481.62, 117,564.62 and 36,302.49

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Solution

The fourth proportional to 78,481.62, 117,564.62 and 36,302.49 is: 54,380.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,481.62 : 117,564.62 = 36,302.49 : x
  2. Step 2: Convert to fraction form
    78,481.62/117,564.62 = 36,302.49/x
  3. Step 3: Cross multiply
    78,481.62x = 117,564.62 × 36,302.49
  4. Step 4: Simplify right side
    78,481.62x = 4,267,888,260.39
  5. Step 5: Solve for x
    x = 4,267,888,260.39/78,481.62
  6. Step 6: Final answer
    x = 54,380.74

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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.