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Finding the Fourth Proportional to 139,384.70, 192,329.34 and 82,052.90

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Solution

The fourth proportional to 139,384.70, 192,329.34 and 82,052.90 is: 113,220.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,384.70 : 192,329.34 = 82,052.90 : x
  2. Step 2: Convert to fraction form
    139,384.70/192,329.34 = 82,052.90/x
  3. Step 3: Cross multiply
    139,384.70x = 192,329.34 × 82,052.90
  4. Step 4: Simplify right side
    139,384.70x = 15,781,180,102.09
  5. Step 5: Solve for x
    x = 15,781,180,102.09/139,384.70
  6. Step 6: Final answer
    x = 113,220.32

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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.