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Finding the Fourth Proportional to 47,722.56, 71,583.78 and 20,020.56

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Solution

The fourth proportional to 47,722.56, 71,583.78 and 20,020.56 is: 30,030.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,722.56 : 71,583.78 = 20,020.56 : x
  2. Step 2: Convert to fraction form
    47,722.56/71,583.78 = 20,020.56/x
  3. Step 3: Cross multiply
    47,722.56x = 71,583.78 × 20,020.56
  4. Step 4: Simplify right side
    47,722.56x = 1,433,147,362.52
  5. Step 5: Solve for x
    x = 1,433,147,362.52/47,722.56
  6. Step 6: Final answer
    x = 30,030.81

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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.