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Finding the Fourth Proportional to 136,859.78, 188,843.46 and 76,428.20

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Solution

The fourth proportional to 136,859.78, 188,843.46 and 76,428.20 is: 105,458.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,859.78 : 188,843.46 = 76,428.20 : x
  2. Step 2: Convert to fraction form
    136,859.78/188,843.46 = 76,428.20/x
  3. Step 3: Cross multiply
    136,859.78x = 188,843.46 × 76,428.20
  4. Step 4: Simplify right side
    136,859.78x = 14,432,965,729.57
  5. Step 5: Solve for x
    x = 14,432,965,729.57/136,859.78
  6. Step 6: Final answer
    x = 105,458.05

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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.