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Finding the Fourth Proportional to 206,105.82, 310,562.76 and 169,486.22

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Solution

The fourth proportional to 206,105.82, 310,562.76 and 169,486.22 is: 255,383.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,105.82 : 310,562.76 = 169,486.22 : x
  2. Step 2: Convert to fraction form
    206,105.82/310,562.76 = 169,486.22/x
  3. Step 3: Cross multiply
    206,105.82x = 310,562.76 × 169,486.22
  4. Step 4: Simplify right side
    206,105.82x = 52,636,108,723.79
  5. Step 5: Solve for x
    x = 52,636,108,723.79/206,105.82
  6. Step 6: Final answer
    x = 255,383.91

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.