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Finding the Fourth Proportional to 136,422.64, 188,238.26 and 75,991.78

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Solution

The fourth proportional to 136,422.64, 188,238.26 and 75,991.78 is: 104,854.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,422.64 : 188,238.26 = 75,991.78 : x
  2. Step 2: Convert to fraction form
    136,422.64/188,238.26 = 75,991.78/x
  3. Step 3: Cross multiply
    136,422.64x = 188,238.26 × 75,991.78
  4. Step 4: Simplify right side
    136,422.64x = 14,304,560,866.78
  5. Step 5: Solve for x
    x = 14,304,560,866.78/136,422.64
  6. Step 6: Final answer
    x = 104,854.74

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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.