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Finding the Fourth Proportional to 78,481.20, 117,719.20 and 34,108.01

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Solution

The fourth proportional to 78,481.20, 117,719.20 and 34,108.01 is: 51,160.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,481.20 : 117,719.20 = 34,108.01 : x
  2. Step 2: Convert to fraction form
    78,481.20/117,719.20 = 34,108.01/x
  3. Step 3: Cross multiply
    78,481.20x = 117,719.20 × 34,108.01
  4. Step 4: Simplify right side
    78,481.20x = 4,015,166,976.93
  5. Step 5: Solve for x
    x = 4,015,166,976.93/78,481.20
  6. Step 6: Final answer
    x = 51,160.88

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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.