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Finding the Fourth Proportional to 192,640.28, 289,009.62 and 74,279.84

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Solution

The fourth proportional to 192,640.28, 289,009.62 and 74,279.84 is: 111,438.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,640.28 : 289,009.62 = 74,279.84 : x
  2. Step 2: Convert to fraction form
    192,640.28/289,009.62 = 74,279.84/x
  3. Step 3: Cross multiply
    192,640.28x = 289,009.62 × 74,279.84
  4. Step 4: Simplify right side
    192,640.28x = 21,467,586,887.01
  5. Step 5: Solve for x
    x = 21,467,586,887.01/192,640.28
  6. Step 6: Final answer
    x = 111,438.73

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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.