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Finding the Fourth Proportional to 192,744, 266,150.88 and 121,243.68

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Solution

The fourth proportional to 192,744, 266,150.88 and 121,243.68 is: 167,419.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,744 : 266,150.88 = 121,243.68 : x
  2. Step 2: Convert to fraction form
    192,744/266,150.88 = 121,243.68/x
  3. Step 3: Cross multiply
    192,744x = 266,150.88 × 121,243.68
  4. Step 4: Simplify right side
    192,744x = 32,269,112,126.44
  5. Step 5: Solve for x
    x = 32,269,112,126.44/192,744
  6. Step 6: Final answer
    x = 167,419.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.