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Finding the Fourth Proportional to 78,057.92, 117,086.34 and 18,893.90

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Solution

The fourth proportional to 78,057.92, 117,086.34 and 18,893.90 is: 28,340.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,057.92 : 117,086.34 = 18,893.90 : x
  2. Step 2: Convert to fraction form
    78,057.92/117,086.34 = 18,893.90/x
  3. Step 3: Cross multiply
    78,057.92x = 117,086.34 × 18,893.90
  4. Step 4: Simplify right side
    78,057.92x = 2,212,217,599.33
  5. Step 5: Solve for x
    x = 2,212,217,599.33/78,057.92
  6. Step 6: Final answer
    x = 28,340.72

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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.