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Finding the Fourth Proportional to 71,418.96, 107,133.48 and 18,828

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Solution

The fourth proportional to 71,418.96, 107,133.48 and 18,828 is: 28,243.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,418.96 : 107,133.48 = 18,828 : x
  2. Step 2: Convert to fraction form
    71,418.96/107,133.48 = 18,828/x
  3. Step 3: Cross multiply
    71,418.96x = 107,133.48 × 18,828
  4. Step 4: Simplify right side
    71,418.96x = 2,017,109,161.44
  5. Step 5: Solve for x
    x = 2,017,109,161.44/71,418.96
  6. Step 6: Final answer
    x = 28,243.33

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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.