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Finding the Fourth Proportional to 139,770.22, 192,818.42 and 82,370.34

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Solution

The fourth proportional to 139,770.22, 192,818.42 and 82,370.34 is: 113,633.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,770.22 : 192,818.42 = 82,370.34 : x
  2. Step 2: Convert to fraction form
    139,770.22/192,818.42 = 82,370.34/x
  3. Step 3: Cross multiply
    139,770.22x = 192,818.42 × 82,370.34
  4. Step 4: Simplify right side
    139,770.22x = 15,882,518,813.66
  5. Step 5: Solve for x
    x = 15,882,518,813.66/139,770.22
  6. Step 6: Final answer
    x = 113,633.07

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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.