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Finding the Fourth Proportional to 135,494.20, 202,949.70 and 112,166.20

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Solution

The fourth proportional to 135,494.20, 202,949.70 and 112,166.20 is: 168,007.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,494.20 : 202,949.70 = 112,166.20 : x
  2. Step 2: Convert to fraction form
    135,494.20/202,949.70 = 112,166.20/x
  3. Step 3: Cross multiply
    135,494.20x = 202,949.70 × 112,166.20
  4. Step 4: Simplify right side
    135,494.20x = 22,764,096,640.14
  5. Step 5: Solve for x
    x = 22,764,096,640.14/135,494.20
  6. Step 6: Final answer
    x = 168,007.90

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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.