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Finding the Fourth Proportional to 139,539.76, 192,541.52 and 82,190.50

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Solution

The fourth proportional to 139,539.76, 192,541.52 and 82,190.50 is: 113,409.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,539.76 : 192,541.52 = 82,190.50 : x
  2. Step 2: Convert to fraction form
    139,539.76/192,541.52 = 82,190.50/x
  3. Step 3: Cross multiply
    139,539.76x = 192,541.52 × 82,190.50
  4. Step 4: Simplify right side
    139,539.76x = 15,825,083,523.68
  5. Step 5: Solve for x
    x = 15,825,083,523.68/139,539.76
  6. Step 6: Final answer
    x = 113,409.14

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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.