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Finding the Fourth Proportional to 139,590.32, 192,628.80 and 82,231.98

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Solution

The fourth proportional to 139,590.32, 192,628.80 and 82,231.98 is: 113,476.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,590.32 : 192,628.80 = 82,231.98 : x
  2. Step 2: Convert to fraction form
    139,590.32/192,628.80 = 82,231.98/x
  3. Step 3: Cross multiply
    139,590.32x = 192,628.80 × 82,231.98
  4. Step 4: Simplify right side
    139,590.32x = 15,840,247,629.02
  5. Step 5: Solve for x
    x = 15,840,247,629.02/139,590.32
  6. Step 6: Final answer
    x = 113,476.70

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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.