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Finding the Fourth Proportional to 30,228, 45,228 and 27,158.56

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Solution

The fourth proportional to 30,228, 45,228 and 27,158.56 is: 40,635.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,228 : 45,228 = 27,158.56 : x
  2. Step 2: Convert to fraction form
    30,228/45,228 = 27,158.56/x
  3. Step 3: Cross multiply
    30,228x = 45,228 × 27,158.56
  4. Step 4: Simplify right side
    30,228x = 1,228,327,351.68
  5. Step 5: Solve for x
    x = 1,228,327,351.68/30,228
  6. Step 6: Final answer
    x = 40,635.42

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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.