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Finding the Fourth Proportional to 136,820.54, 188,836.92 and 81,633.42

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Solution

The fourth proportional to 136,820.54, 188,836.92 and 81,633.42 is: 112,668.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,820.54 : 188,836.92 = 81,633.42 : x
  2. Step 2: Convert to fraction form
    136,820.54/188,836.92 = 81,633.42/x
  3. Step 3: Cross multiply
    136,820.54x = 188,836.92 × 81,633.42
  4. Step 4: Simplify right side
    136,820.54x = 15,415,403,601.87
  5. Step 5: Solve for x
    x = 15,415,403,601.87/136,820.54
  6. Step 6: Final answer
    x = 112,668.78

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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.