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Finding the Fourth Proportional to 68,268, 102,419.28 and 19,020

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Solution

The fourth proportional to 68,268, 102,419.28 and 19,020 is: 28,534.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,268 : 102,419.28 = 19,020 : x
  2. Step 2: Convert to fraction form
    68,268/102,419.28 = 19,020/x
  3. Step 3: Cross multiply
    68,268x = 102,419.28 × 19,020
  4. Step 4: Simplify right side
    68,268x = 1,948,014,705.60
  5. Step 5: Solve for x
    x = 1,948,014,705.60/68,268
  6. Step 6: Final answer
    x = 28,534.81

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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.