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Finding the Fourth Proportional to 135,165, 186,511.83 and 74,732.04

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Solution

The fourth proportional to 135,165, 186,511.83 and 74,732.04 is: 103,121.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,165 : 186,511.83 = 74,732.04 : x
  2. Step 2: Convert to fraction form
    135,165/186,511.83 = 74,732.04/x
  3. Step 3: Cross multiply
    135,165x = 186,511.83 × 74,732.04
  4. Step 4: Simplify right side
    135,165x = 13,938,409,540.03
  5. Step 5: Solve for x
    x = 13,938,409,540.03/135,165
  6. Step 6: Final answer
    x = 103,121.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.