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Finding the Fourth Proportional to 225,735.49, 311,546.67 and 139,721.92

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Solution

The fourth proportional to 225,735.49, 311,546.67 and 139,721.92 is: 192,835.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,735.49 : 311,546.67 = 139,721.92 : x
  2. Step 2: Convert to fraction form
    225,735.49/311,546.67 = 139,721.92/x
  3. Step 3: Cross multiply
    225,735.49x = 311,546.67 × 139,721.92
  4. Step 4: Simplify right side
    225,735.49x = 43,529,898,385.12
  5. Step 5: Solve for x
    x = 43,529,898,385.12/225,735.49
  6. Step 6: Final answer
    x = 192,835.86

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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.