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Finding the Fourth Proportional to 230,085.72, 345,213.90 and 103,687.56

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Solution

The fourth proportional to 230,085.72, 345,213.90 and 103,687.56 is: 155,569.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,085.72 : 345,213.90 = 103,687.56 : x
  2. Step 2: Convert to fraction form
    230,085.72/345,213.90 = 103,687.56/x
  3. Step 3: Cross multiply
    230,085.72x = 345,213.90 × 103,687.56
  4. Step 4: Simplify right side
    230,085.72x = 35,794,386,969.08
  5. Step 5: Solve for x
    x = 35,794,386,969.08/230,085.72
  6. Step 6: Final answer
    x = 155,569.79

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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.