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Finding the Fourth Proportional to 78,627.92, 117,760.44 and 47,394.32

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Solution

The fourth proportional to 78,627.92, 117,760.44 and 47,394.32 is: 70,982.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,627.92 : 117,760.44 = 47,394.32 : x
  2. Step 2: Convert to fraction form
    78,627.92/117,760.44 = 47,394.32/x
  3. Step 3: Cross multiply
    78,627.92x = 117,760.44 × 47,394.32
  4. Step 4: Simplify right side
    78,627.92x = 5,581,175,976.70
  5. Step 5: Solve for x
    x = 5,581,175,976.70/78,627.92
  6. Step 6: Final answer
    x = 70,982.11

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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.