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Finding the Fourth Proportional to 18,172.31, 25,077.69 and 10,214.60

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Solution

The fourth proportional to 18,172.31, 25,077.69 and 10,214.60 is: 14,096.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,172.31 : 25,077.69 = 10,214.60 : x
  2. Step 2: Convert to fraction form
    18,172.31/25,077.69 = 10,214.60/x
  3. Step 3: Cross multiply
    18,172.31x = 25,077.69 × 10,214.60
  4. Step 4: Simplify right side
    18,172.31x = 256,158,446.89
  5. Step 5: Solve for x
    x = 256,158,446.89/18,172.31
  6. Step 6: Final answer
    x = 14,096.09

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.