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Finding the Fourth Proportional to 78,549.86, 117,843.24 and 22,390.78

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Solution

The fourth proportional to 78,549.86, 117,843.24 and 22,390.78 is: 33,591.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,549.86 : 117,843.24 = 22,390.78 : x
  2. Step 2: Convert to fraction form
    78,549.86/117,843.24 = 22,390.78/x
  3. Step 3: Cross multiply
    78,549.86x = 117,843.24 × 22,390.78
  4. Step 4: Simplify right side
    78,549.86x = 2,638,601,587.75
  5. Step 5: Solve for x
    x = 2,638,601,587.75/78,549.86
  6. Step 6: Final answer
    x = 33,591.42

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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.