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Finding the Fourth Proportional to 50,906.81, 76,269.87 and 21,259.41

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Solution

The fourth proportional to 50,906.81, 76,269.87 and 21,259.41 is: 31,851.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,906.81 : 76,269.87 = 21,259.41 : x
  2. Step 2: Convert to fraction form
    50,906.81/76,269.87 = 21,259.41/x
  3. Step 3: Cross multiply
    50,906.81x = 76,269.87 × 21,259.41
  4. Step 4: Simplify right side
    50,906.81x = 1,621,452,436.98
  5. Step 5: Solve for x
    x = 1,621,452,436.98/50,906.81
  6. Step 6: Final answer
    x = 31,851.39

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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.