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Finding the Fourth Proportional to 55,200.96, 82,747.44 and 21,909.96

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Solution

The fourth proportional to 55,200.96, 82,747.44 and 21,909.96 is: 32,843.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,200.96 : 82,747.44 = 21,909.96 : x
  2. Step 2: Convert to fraction form
    55,200.96/82,747.44 = 21,909.96/x
  3. Step 3: Cross multiply
    55,200.96x = 82,747.44 × 21,909.96
  4. Step 4: Simplify right side
    55,200.96x = 1,812,993,100.50
  5. Step 5: Solve for x
    x = 1,812,993,100.50/55,200.96
  6. Step 6: Final answer
    x = 32,843.51

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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.