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Finding the Fourth Proportional to 78,294.21, 117,445.41 and 22,138.43

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Solution

The fourth proportional to 78,294.21, 117,445.41 and 22,138.43 is: 33,208.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,294.21 : 117,445.41 = 22,138.43 : x
  2. Step 2: Convert to fraction form
    78,294.21/117,445.41 = 22,138.43/x
  3. Step 3: Cross multiply
    78,294.21x = 117,445.41 × 22,138.43
  4. Step 4: Simplify right side
    78,294.21x = 2,600,056,400.88
  5. Step 5: Solve for x
    x = 2,600,056,400.88/78,294.21
  6. Step 6: Final answer
    x = 33,208.80

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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.