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Finding the Fourth Proportional to 20,223, 30,325.62 and 10,221.60

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Solution

The fourth proportional to 20,223, 30,325.62 and 10,221.60 is: 15,327.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,223 : 30,325.62 = 10,221.60 : x
  2. Step 2: Convert to fraction form
    20,223/30,325.62 = 10,221.60/x
  3. Step 3: Cross multiply
    20,223x = 30,325.62 × 10,221.60
  4. Step 4: Simplify right side
    20,223x = 309,976,357.39
  5. Step 5: Solve for x
    x = 309,976,357.39/20,223
  6. Step 6: Final answer
    x = 15,327.91

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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.