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Finding the Fourth Proportional to 206,783.98, 310,174.83 and 80,512.07

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Solution

The fourth proportional to 206,783.98, 310,174.83 and 80,512.07 is: 120,767.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,783.98 : 310,174.83 = 80,512.07 : x
  2. Step 2: Convert to fraction form
    206,783.98/310,174.83 = 80,512.07/x
  3. Step 3: Cross multiply
    206,783.98x = 310,174.83 × 80,512.07
  4. Step 4: Simplify right side
    206,783.98x = 24,972,816,074.32
  5. Step 5: Solve for x
    x = 24,972,816,074.32/206,783.98
  6. Step 6: Final answer
    x = 120,767.66

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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.