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Finding the Fourth Proportional to 192,697.60, 289,096.80 and 74,372.80

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Solution

The fourth proportional to 192,697.60, 289,096.80 and 74,372.80 is: 111,578.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,697.60 : 289,096.80 = 74,372.80 : x
  2. Step 2: Convert to fraction form
    192,697.60/289,096.80 = 74,372.80/x
  3. Step 3: Cross multiply
    192,697.60x = 289,096.80 × 74,372.80
  4. Step 4: Simplify right side
    192,697.60x = 21,500,938,487.04
  5. Step 5: Solve for x
    x = 21,500,938,487.04/192,697.60
  6. Step 6: Final answer
    x = 111,578.65

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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.