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Finding the Fourth Proportional to 139,253.52, 192,219.75 and 82,664.94

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Solution

The fourth proportional to 139,253.52, 192,219.75 and 82,664.94 is: 114,107.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,253.52 : 192,219.75 = 82,664.94 : x
  2. Step 2: Convert to fraction form
    139,253.52/192,219.75 = 82,664.94/x
  3. Step 3: Cross multiply
    139,253.52x = 192,219.75 × 82,664.94
  4. Step 4: Simplify right side
    139,253.52x = 15,889,834,100.57
  5. Step 5: Solve for x
    x = 15,889,834,100.57/139,253.52
  6. Step 6: Final answer
    x = 114,107.23

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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.