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Finding the Fourth Proportional to 78,517.15, 117,736.30 and 36,360.97

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Solution

The fourth proportional to 78,517.15, 117,736.30 and 36,360.97 is: 54,523.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,517.15 : 117,736.30 = 36,360.97 : x
  2. Step 2: Convert to fraction form
    78,517.15/117,736.30 = 36,360.97/x
  3. Step 3: Cross multiply
    78,517.15x = 117,736.30 × 36,360.97
  4. Step 4: Simplify right side
    78,517.15x = 4,281,006,072.21
  5. Step 5: Solve for x
    x = 4,281,006,072.21/78,517.15
  6. Step 6: Final answer
    x = 54,523.20

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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.