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Finding the Fourth Proportional to 55,061.44, 82,604.16 and 20,000

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Solution

The fourth proportional to 55,061.44, 82,604.16 and 20,000 is: 30,004.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,061.44 : 82,604.16 = 20,000 : x
  2. Step 2: Convert to fraction form
    55,061.44/82,604.16 = 20,000/x
  3. Step 3: Cross multiply
    55,061.44x = 82,604.16 × 20,000
  4. Step 4: Simplify right side
    55,061.44x = 1,652,083,200
  5. Step 5: Solve for x
    x = 1,652,083,200/55,061.44
  6. Step 6: Final answer
    x = 30,004.36

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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.