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Finding the Fourth Proportional to 206,322.26, 309,381.32 and 73,182.56

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Solution

The fourth proportional to 206,322.26, 309,381.32 and 73,182.56 is: 109,737.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,322.26 : 309,381.32 = 73,182.56 : x
  2. Step 2: Convert to fraction form
    206,322.26/309,381.32 = 73,182.56/x
  3. Step 3: Cross multiply
    206,322.26x = 309,381.32 × 73,182.56
  4. Step 4: Simplify right side
    206,322.26x = 22,641,315,649.83
  5. Step 5: Solve for x
    x = 22,641,315,649.83/206,322.26
  6. Step 6: Final answer
    x = 109,737.63

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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.