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Finding the Fourth Proportional to 71,749.88, 107,608.37 and 21,135.81

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Solution

The fourth proportional to 71,749.88, 107,608.37 and 21,135.81 is: 31,698.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,749.88 : 107,608.37 = 21,135.81 : x
  2. Step 2: Convert to fraction form
    71,749.88/107,608.37 = 21,135.81/x
  3. Step 3: Cross multiply
    71,749.88x = 107,608.37 × 21,135.81
  4. Step 4: Simplify right side
    71,749.88x = 2,274,389,957.05
  5. Step 5: Solve for x
    x = 2,274,389,957.05/71,749.88
  6. Step 6: Final answer
    x = 31,698.87

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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.