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Finding the Fourth Proportional to 193,372.80, 289,972.80 and 75,004.80

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Solution

The fourth proportional to 193,372.80, 289,972.80 and 75,004.80 is: 112,473.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,372.80 : 289,972.80 = 75,004.80 : x
  2. Step 2: Convert to fraction form
    193,372.80/289,972.80 = 75,004.80/x
  3. Step 3: Cross multiply
    193,372.80x = 289,972.80 × 75,004.80
  4. Step 4: Simplify right side
    193,372.80x = 21,749,351,869.44
  5. Step 5: Solve for x
    x = 21,749,351,869.44/193,372.80
  6. Step 6: Final answer
    x = 112,473.69

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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.