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Finding the Fourth Proportional to 206,808.68, 285,388.44 and 126,370.82

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Solution

The fourth proportional to 206,808.68, 285,388.44 and 126,370.82 is: 174,387.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,808.68 : 285,388.44 = 126,370.82 : x
  2. Step 2: Convert to fraction form
    206,808.68/285,388.44 = 126,370.82/x
  3. Step 3: Cross multiply
    206,808.68x = 285,388.44 × 126,370.82
  4. Step 4: Simplify right side
    206,808.68x = 36,064,771,181.32
  5. Step 5: Solve for x
    x = 36,064,771,181.32/206,808.68
  6. Step 6: Final answer
    x = 174,387.13

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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.