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Finding the Fourth Proportional to 146,449.92, 202,104 and 82,783.92

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Solution

The fourth proportional to 146,449.92, 202,104 and 82,783.92 is: 114,243.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,449.92 : 202,104 = 82,783.92 : x
  2. Step 2: Convert to fraction form
    146,449.92/202,104 = 82,783.92/x
  3. Step 3: Cross multiply
    146,449.92x = 202,104 × 82,783.92
  4. Step 4: Simplify right side
    146,449.92x = 16,730,961,367.68
  5. Step 5: Solve for x
    x = 16,730,961,367.68/146,449.92
  6. Step 6: Final answer
    x = 114,243.57

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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.