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Finding the Fourth Proportional to 106,163.36, 146,529 and 83,147.36

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Solution

The fourth proportional to 106,163.36, 146,529 and 83,147.36 is: 114,761.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,163.36 : 146,529 = 83,147.36 : x
  2. Step 2: Convert to fraction form
    106,163.36/146,529 = 83,147.36/x
  3. Step 3: Cross multiply
    106,163.36x = 146,529 × 83,147.36
  4. Step 4: Simplify right side
    106,163.36x = 12,183,499,513.44
  5. Step 5: Solve for x
    x = 12,183,499,513.44/106,163.36
  6. Step 6: Final answer
    x = 114,761.81

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1.5x scale

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.