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Finding the Fourth Proportional to 136,405.92, 188,210.49 and 82,704.14

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Solution

The fourth proportional to 136,405.92, 188,210.49 and 82,704.14 is: 114,113.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,405.92 : 188,210.49 = 82,704.14 : x
  2. Step 2: Convert to fraction form
    136,405.92/188,210.49 = 82,704.14/x
  3. Step 3: Cross multiply
    136,405.92x = 188,210.49 × 82,704.14
  4. Step 4: Simplify right side
    136,405.92x = 15,565,786,169.03
  5. Step 5: Solve for x
    x = 15,565,786,169.03/136,405.92
  6. Step 6: Final answer
    x = 114,113.71

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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.