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Finding the Fourth Proportional to 78,550.86, 117,844.74 and 22,391.78

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Solution

The fourth proportional to 78,550.86, 117,844.74 and 22,391.78 is: 33,592.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,550.86 : 117,844.74 = 22,391.78 : x
  2. Step 2: Convert to fraction form
    78,550.86/117,844.74 = 22,391.78/x
  3. Step 3: Cross multiply
    78,550.86x = 117,844.74 × 22,391.78
  4. Step 4: Simplify right side
    78,550.86x = 2,638,753,492.24
  5. Step 5: Solve for x
    x = 2,638,753,492.24/78,550.86
  6. Step 6: Final answer
    x = 33,592.93

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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.