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Finding the Fourth Proportional to 235,321.78, 324,771.69 and 139,828.54

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Solution

The fourth proportional to 235,321.78, 324,771.69 and 139,828.54 is: 192,979.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,321.78 : 324,771.69 = 139,828.54 : x
  2. Step 2: Convert to fraction form
    235,321.78/324,771.69 = 139,828.54/x
  3. Step 3: Cross multiply
    235,321.78x = 324,771.69 × 139,828.54
  4. Step 4: Simplify right side
    235,321.78x = 45,412,351,246.03
  5. Step 5: Solve for x
    x = 45,412,351,246.03/235,321.78
  6. Step 6: Final answer
    x = 192,979.81

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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.