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Finding the Fourth Proportional to 203,486.15, 305,229.23 and 164,120.15

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Solution

The fourth proportional to 203,486.15, 305,229.23 and 164,120.15 is: 246,180.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,486.15 : 305,229.23 = 164,120.15 : x
  2. Step 2: Convert to fraction form
    203,486.15/305,229.23 = 164,120.15/x
  3. Step 3: Cross multiply
    203,486.15x = 305,229.23 × 164,120.15
  4. Step 4: Simplify right side
    203,486.15x = 50,094,267,011.98
  5. Step 5: Solve for x
    x = 50,094,267,011.98/203,486.15
  6. Step 6: Final answer
    x = 246,180.23

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.