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Finding the Fourth Proportional to 146,490.68, 202,161.12 and 82,838

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Solution

The fourth proportional to 146,490.68, 202,161.12 and 82,838 is: 114,318.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,490.68 : 202,161.12 = 82,838 : x
  2. Step 2: Convert to fraction form
    146,490.68/202,161.12 = 82,838/x
  3. Step 3: Cross multiply
    146,490.68x = 202,161.12 × 82,838
  4. Step 4: Simplify right side
    146,490.68x = 16,746,622,858.56
  5. Step 5: Solve for x
    x = 16,746,622,858.56/146,490.68
  6. Step 6: Final answer
    x = 114,318.69

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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.