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Finding the Fourth Proportional to 139,859.87, 209,790 and 106,767.82

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Solution

The fourth proportional to 139,859.87, 209,790 and 106,767.82 is: 160,151.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,859.87 : 209,790 = 106,767.82 : x
  2. Step 2: Convert to fraction form
    139,859.87/209,790 = 106,767.82/x
  3. Step 3: Cross multiply
    139,859.87x = 209,790 × 106,767.82
  4. Step 4: Simplify right side
    139,859.87x = 22,398,821,220.04
  5. Step 5: Solve for x
    x = 22,398,821,220.04/139,859.87
  6. Step 6: Final answer
    x = 160,151.89

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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.