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Finding the Fourth Proportional to 206,967.35, 285,550.72 and 120,864.22

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Solution

The fourth proportional to 206,967.35, 285,550.72 and 120,864.22 is: 166,755.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,967.35 : 285,550.72 = 120,864.22 : x
  2. Step 2: Convert to fraction form
    206,967.35/285,550.72 = 120,864.22/x
  3. Step 3: Cross multiply
    206,967.35x = 285,550.72 × 120,864.22
  4. Step 4: Simplify right side
    206,967.35x = 34,512,864,027.20
  5. Step 5: Solve for x
    x = 34,512,864,027.20/206,967.35
  6. Step 6: Final answer
    x = 166,755.11

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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.