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Finding the Fourth Proportional to 55,481.56, 83,220.18 and 30,571

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Solution

The fourth proportional to 55,481.56, 83,220.18 and 30,571 is: 45,855.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,481.56 : 83,220.18 = 30,571 : x
  2. Step 2: Convert to fraction form
    55,481.56/83,220.18 = 30,571/x
  3. Step 3: Cross multiply
    55,481.56x = 83,220.18 × 30,571
  4. Step 4: Simplify right side
    55,481.56x = 2,544,124,122.78
  5. Step 5: Solve for x
    x = 2,544,124,122.78/55,481.56
  6. Step 6: Final answer
    x = 45,855.31

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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.