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Finding the Fourth Proportional to 206,490.33, 309,235.32 and 105,021.43

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Solution

The fourth proportional to 206,490.33, 309,235.32 and 105,021.43 is: 157,277.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,490.33 : 309,235.32 = 105,021.43 : x
  2. Step 2: Convert to fraction form
    206,490.33/309,235.32 = 105,021.43/x
  3. Step 3: Cross multiply
    206,490.33x = 309,235.32 × 105,021.43
  4. Step 4: Simplify right side
    206,490.33x = 32,476,334,739.82
  5. Step 5: Solve for x
    x = 32,476,334,739.82/206,490.33
  6. Step 6: Final answer
    x = 157,277.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.