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Finding the Fourth Proportional to 193,243.80, 289,635.30 and 80,923.80

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Solution

The fourth proportional to 193,243.80, 289,635.30 and 80,923.80 is: 121,289.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,243.80 : 289,635.30 = 80,923.80 : x
  2. Step 2: Convert to fraction form
    193,243.80/289,635.30 = 80,923.80/x
  3. Step 3: Cross multiply
    193,243.80x = 289,635.30 × 80,923.80
  4. Step 4: Simplify right side
    193,243.80x = 23,438,389,090.14
  5. Step 5: Solve for x
    x = 23,438,389,090.14/193,243.80
  6. Step 6: Final answer
    x = 121,289.22

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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.