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Finding the Fourth Proportional to 139,447.80, 192,439.20 and 75,785.64

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Solution

The fourth proportional to 139,447.80, 192,439.20 and 75,785.64 is: 104,584.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,447.80 : 192,439.20 = 75,785.64 : x
  2. Step 2: Convert to fraction form
    139,447.80/192,439.20 = 75,785.64/x
  3. Step 3: Cross multiply
    139,447.80x = 192,439.20 × 75,785.64
  4. Step 4: Simplify right side
    139,447.80x = 14,584,127,933.09
  5. Step 5: Solve for x
    x = 14,584,127,933.09/139,447.80
  6. Step 6: Final answer
    x = 104,584.85

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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.