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Finding the Fourth Proportional to 139,403.52, 192,355.20 and 82,813.44

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Solution

The fourth proportional to 139,403.52, 192,355.20 and 82,813.44 is: 114,269.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,403.52 : 192,355.20 = 82,813.44 : x
  2. Step 2: Convert to fraction form
    139,403.52/192,355.20 = 82,813.44/x
  3. Step 3: Cross multiply
    139,403.52x = 192,355.20 × 82,813.44
  4. Step 4: Simplify right side
    139,403.52x = 15,929,595,813.89
  5. Step 5: Solve for x
    x = 15,929,595,813.89/139,403.52
  6. Step 6: Final answer
    x = 114,269.68

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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.