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Finding the Fourth Proportional to 193,323.20, 289,984.80 and 68,676.80

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Solution

The fourth proportional to 193,323.20, 289,984.80 and 68,676.80 is: 103,015.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,323.20 : 289,984.80 = 68,676.80 : x
  2. Step 2: Convert to fraction form
    193,323.20/289,984.80 = 68,676.80/x
  3. Step 3: Cross multiply
    193,323.20x = 289,984.80 × 68,676.80
  4. Step 4: Simplify right side
    193,323.20x = 19,915,228,112.64
  5. Step 5: Solve for x
    x = 19,915,228,112.64/193,323.20
  6. Step 6: Final answer
    x = 103,015.20

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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.