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Finding the Fourth Proportional to 190,296, 262,608.48 and 105,418.56

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Solution

The fourth proportional to 190,296, 262,608.48 and 105,418.56 is: 145,477.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,296 : 262,608.48 = 105,418.56 : x
  2. Step 2: Convert to fraction form
    190,296/262,608.48 = 105,418.56/x
  3. Step 3: Cross multiply
    190,296x = 262,608.48 × 105,418.56
  4. Step 4: Simplify right side
    190,296x = 27,683,807,805.39
  5. Step 5: Solve for x
    x = 27,683,807,805.39/190,296
  6. Step 6: Final answer
    x = 145,477.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.