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Finding the Fourth Proportional to 20,202.87, 30,308.10 and 6,164.16

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Solution

The fourth proportional to 20,202.87, 30,308.10 and 6,164.16 is: 9,247.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,202.87 : 30,308.10 = 6,164.16 : x
  2. Step 2: Convert to fraction form
    20,202.87/30,308.10 = 6,164.16/x
  3. Step 3: Cross multiply
    20,202.87x = 30,308.10 × 6,164.16
  4. Step 4: Simplify right side
    20,202.87x = 186,823,977.70
  5. Step 5: Solve for x
    x = 186,823,977.70/20,202.87
  6. Step 6: Final answer
    x = 9,247.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.