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Finding the Fourth Proportional to 139,378.96, 192,343.44 and 82,020.52

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Solution

The fourth proportional to 139,378.96, 192,343.44 and 82,020.52 is: 113,188.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,378.96 : 192,343.44 = 82,020.52 : x
  2. Step 2: Convert to fraction form
    139,378.96/192,343.44 = 82,020.52/x
  3. Step 3: Cross multiply
    139,378.96x = 192,343.44 × 82,020.52
  4. Step 4: Simplify right side
    139,378.96x = 15,776,108,967.39
  5. Step 5: Solve for x
    x = 15,776,108,967.39/139,378.96
  6. Step 6: Final answer
    x = 113,188.60

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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.