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Finding the Fourth Proportional to 206,585.76, 285,097.68 and 161,796

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Solution

The fourth proportional to 206,585.76, 285,097.68 and 161,796 is: 223,285.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,585.76 : 285,097.68 = 161,796 : x
  2. Step 2: Convert to fraction form
    206,585.76/285,097.68 = 161,796/x
  3. Step 3: Cross multiply
    206,585.76x = 285,097.68 × 161,796
  4. Step 4: Simplify right side
    206,585.76x = 46,127,664,233.28
  5. Step 5: Solve for x
    x = 46,127,664,233.28/206,585.76
  6. Step 6: Final answer
    x = 223,285.79

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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.