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Finding the Fourth Proportional to 139,406.58, 192,382.83 and 75,745.44

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Solution

The fourth proportional to 139,406.58, 192,382.83 and 75,745.44 is: 104,529.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,406.58 : 192,382.83 = 75,745.44 : x
  2. Step 2: Convert to fraction form
    139,406.58/192,382.83 = 75,745.44/x
  3. Step 3: Cross multiply
    139,406.58x = 192,382.83 × 75,745.44
  4. Step 4: Simplify right side
    139,406.58x = 14,572,122,106.80
  5. Step 5: Solve for x
    x = 14,572,122,106.80/139,406.58
  6. Step 6: Final answer
    x = 104,529.66

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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.