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Finding the Fourth Proportional to 205,781.96, 310,215.31 and 192,065.38

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Solution

The fourth proportional to 205,781.96, 310,215.31 and 192,065.38 is: 289,537.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,781.96 : 310,215.31 = 192,065.38 : x
  2. Step 2: Convert to fraction form
    205,781.96/310,215.31 = 192,065.38/x
  3. Step 3: Cross multiply
    205,781.96x = 310,215.31 × 192,065.38
  4. Step 4: Simplify right side
    205,781.96x = 59,581,620,141.27
  5. Step 5: Solve for x
    x = 59,581,620,141.27/205,781.96
  6. Step 6: Final answer
    x = 289,537.62

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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.