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Finding the Fourth Proportional to 139,542.65, 192,577.25 and 82,220.17

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Solution

The fourth proportional to 139,542.65, 192,577.25 and 82,220.17 is: 113,468.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,542.65 : 192,577.25 = 82,220.17 : x
  2. Step 2: Convert to fraction form
    139,542.65/192,577.25 = 82,220.17/x
  3. Step 3: Cross multiply
    139,542.65x = 192,577.25 × 82,220.17
  4. Step 4: Simplify right side
    139,542.65x = 15,833,734,233.13
  5. Step 5: Solve for x
    x = 15,833,734,233.13/139,542.65
  6. Step 6: Final answer
    x = 113,468.78

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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.