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Finding the Fourth Proportional to 200,083.82, 300,065.21 and 105,261.73

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Solution

The fourth proportional to 200,083.82, 300,065.21 and 105,261.73 is: 157,860.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,083.82 : 300,065.21 = 105,261.73 : x
  2. Step 2: Convert to fraction form
    200,083.82/300,065.21 = 105,261.73/x
  3. Step 3: Cross multiply
    200,083.82x = 300,065.21 × 105,261.73
  4. Step 4: Simplify right side
    200,083.82x = 31,585,382,235.67
  5. Step 5: Solve for x
    x = 31,585,382,235.67/200,083.82
  6. Step 6: Final answer
    x = 157,860.75

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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.