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Finding the Fourth Proportional to 192,905.30, 289,403.54 and 80,523.07

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Solution

The fourth proportional to 192,905.30, 289,403.54 and 80,523.07 is: 120,803.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,905.30 : 289,403.54 = 80,523.07 : x
  2. Step 2: Convert to fraction form
    192,905.30/289,403.54 = 80,523.07/x
  3. Step 3: Cross multiply
    192,905.30x = 289,403.54 × 80,523.07
  4. Step 4: Simplify right side
    192,905.30x = 23,303,659,660.03
  5. Step 5: Solve for x
    x = 23,303,659,660.03/192,905.30
  6. Step 6: Final answer
    x = 120,803.63

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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.