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Finding the Fourth Proportional to 135,640, 187,183.20 and 82,648

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Solution

The fourth proportional to 135,640, 187,183.20 and 82,648 is: 114,054.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,640 : 187,183.20 = 82,648 : x
  2. Step 2: Convert to fraction form
    135,640/187,183.20 = 82,648/x
  3. Step 3: Cross multiply
    135,640x = 187,183.20 × 82,648
  4. Step 4: Simplify right side
    135,640x = 15,470,317,113.60
  5. Step 5: Solve for x
    x = 15,470,317,113.60/135,640
  6. Step 6: Final answer
    x = 114,054.24

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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.