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Finding the Fourth Proportional to 78,481.22, 117,719.21 and 34,108.02

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Solution

The fourth proportional to 78,481.22, 117,719.21 and 34,108.02 is: 51,160.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,481.22 : 117,719.21 = 34,108.02 : x
  2. Step 2: Convert to fraction form
    78,481.22/117,719.21 = 34,108.02/x
  3. Step 3: Cross multiply
    78,481.22x = 117,719.21 × 34,108.02
  4. Step 4: Simplify right side
    78,481.22x = 4,015,169,254.33
  5. Step 5: Solve for x
    x = 4,015,169,254.33/78,481.22
  6. Step 6: Final answer
    x = 51,160.90

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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.