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Finding the Fourth Proportional to 136,644.40, 188,540.60 and 82,957.68

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Solution

The fourth proportional to 136,644.40, 188,540.60 and 82,957.68 is: 114,464.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,644.40 : 188,540.60 = 82,957.68 : x
  2. Step 2: Convert to fraction form
    136,644.40/188,540.60 = 82,957.68/x
  3. Step 3: Cross multiply
    136,644.40x = 188,540.60 × 82,957.68
  4. Step 4: Simplify right side
    136,644.40x = 15,640,890,761.81
  5. Step 5: Solve for x
    x = 15,640,890,761.81/136,644.40
  6. Step 6: Final answer
    x = 114,464.19

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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.