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Finding the Fourth Proportional to 78,583.71, 117,824.83 and 33,634.42

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Solution

The fourth proportional to 78,583.71, 117,824.83 and 33,634.42 is: 50,429.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,583.71 : 117,824.83 = 33,634.42 : x
  2. Step 2: Convert to fraction form
    78,583.71/117,824.83 = 33,634.42/x
  3. Step 3: Cross multiply
    78,583.71x = 117,824.83 × 33,634.42
  4. Step 4: Simplify right side
    78,583.71x = 3,962,969,440.00
  5. Step 5: Solve for x
    x = 3,962,969,440.00/78,583.71
  6. Step 6: Final answer
    x = 50,429.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.