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Finding the Fourth Proportional to 136,405.41, 188,248.92 and 82,692.69

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Solution

The fourth proportional to 136,405.41, 188,248.92 and 82,692.69 is: 114,121.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,405.41 : 188,248.92 = 82,692.69 : x
  2. Step 2: Convert to fraction form
    136,405.41/188,248.92 = 82,692.69/x
  3. Step 3: Cross multiply
    136,405.41x = 188,248.92 × 82,692.69
  4. Step 4: Simplify right side
    136,405.41x = 15,566,809,584.39
  5. Step 5: Solve for x
    x = 15,566,809,584.39/136,405.41
  6. Step 6: Final answer
    x = 114,121.64

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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.