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Finding the Fourth Proportional to 146,381.44, 202,008 and 79,313.60

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Solution

The fourth proportional to 146,381.44, 202,008 and 79,313.60 is: 109,453.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,381.44 : 202,008 = 79,313.60 : x
  2. Step 2: Convert to fraction form
    146,381.44/202,008 = 79,313.60/x
  3. Step 3: Cross multiply
    146,381.44x = 202,008 × 79,313.60
  4. Step 4: Simplify right side
    146,381.44x = 16,021,981,708.80
  5. Step 5: Solve for x
    x = 16,021,981,708.80/146,381.44
  6. Step 6: Final answer
    x = 109,453.64

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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.