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Finding the Fourth Proportional to 78,517.40, 117,736.68 and 36,361.22

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Solution

The fourth proportional to 78,517.40, 117,736.68 and 36,361.22 is: 54,523.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,517.40 : 117,736.68 = 36,361.22 : x
  2. Step 2: Convert to fraction form
    78,517.40/117,736.68 = 36,361.22/x
  3. Step 3: Cross multiply
    78,517.40x = 117,736.68 × 36,361.22
  4. Step 4: Simplify right side
    78,517.40x = 4,281,049,323.55
  5. Step 5: Solve for x
    x = 4,281,049,323.55/78,517.40
  6. Step 6: Final answer
    x = 54,523.57

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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.