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Finding the Fourth Proportional to 139,729.88, 192,828.12 and 76,067.66

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Solution

The fourth proportional to 139,729.88, 192,828.12 and 76,067.66 is: 104,973.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,729.88 : 192,828.12 = 76,067.66 : x
  2. Step 2: Convert to fraction form
    139,729.88/192,828.12 = 76,067.66/x
  3. Step 3: Cross multiply
    139,729.88x = 192,828.12 × 76,067.66
  4. Step 4: Simplify right side
    139,729.88x = 14,667,983,870.60
  5. Step 5: Solve for x
    x = 14,667,983,870.60/139,729.88
  6. Step 6: Final answer
    x = 104,973.85

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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.