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Finding the Fourth Proportional to 139,640.28, 192,707.70 and 75,982.20

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Solution

The fourth proportional to 139,640.28, 192,707.70 and 75,982.20 is: 104,857.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,640.28 : 192,707.70 = 75,982.20 : x
  2. Step 2: Convert to fraction form
    139,640.28/192,707.70 = 75,982.20/x
  3. Step 3: Cross multiply
    139,640.28x = 192,707.70 × 75,982.20
  4. Step 4: Simplify right side
    139,640.28x = 14,642,355,002.94
  5. Step 5: Solve for x
    x = 14,642,355,002.94/139,640.28
  6. Step 6: Final answer
    x = 104,857.67

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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.