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Finding the Fourth Proportional to 139,219.75, 208,560.84 and 83,104.71

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Solution

The fourth proportional to 139,219.75, 208,560.84 and 83,104.71 is: 124,496.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,219.75 : 208,560.84 = 83,104.71 : x
  2. Step 2: Convert to fraction form
    139,219.75/208,560.84 = 83,104.71/x
  3. Step 3: Cross multiply
    139,219.75x = 208,560.84 × 83,104.71
  4. Step 4: Simplify right side
    139,219.75x = 17,332,388,125.56
  5. Step 5: Solve for x
    x = 17,332,388,125.56/139,219.75
  6. Step 6: Final answer
    x = 124,496.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.