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Finding the Fourth Proportional to 206,842.92, 310,357.96 and 105,588.66

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Solution

The fourth proportional to 206,842.92, 310,357.96 and 105,588.66 is: 158,430.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,842.92 : 310,357.96 = 105,588.66 : x
  2. Step 2: Convert to fraction form
    206,842.92/310,357.96 = 105,588.66/x
  3. Step 3: Cross multiply
    206,842.92x = 310,357.96 × 105,588.66
  4. Step 4: Simplify right side
    206,842.92x = 32,770,281,116.73
  5. Step 5: Solve for x
    x = 32,770,281,116.73/206,842.92
  6. Step 6: Final answer
    x = 158,430.76

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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.