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Finding the Fourth Proportional to 78,203, 117,231.62 and 30,843.80

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Solution

The fourth proportional to 78,203, 117,231.62 and 30,843.80 is: 46,236.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,203 : 117,231.62 = 30,843.80 : x
  2. Step 2: Convert to fraction form
    78,203/117,231.62 = 30,843.80/x
  3. Step 3: Cross multiply
    78,203x = 117,231.62 × 30,843.80
  4. Step 4: Simplify right side
    78,203x = 3,615,868,640.96
  5. Step 5: Solve for x
    x = 3,615,868,640.96/78,203
  6. Step 6: Final answer
    x = 46,236.96

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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.