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Finding the Fourth Proportional to 55,025, 82,538.60 and 18,089

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Solution

The fourth proportional to 55,025, 82,538.60 and 18,089 is: 27,133.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,025 : 82,538.60 = 18,089 : x
  2. Step 2: Convert to fraction form
    55,025/82,538.60 = 18,089/x
  3. Step 3: Cross multiply
    55,025x = 82,538.60 × 18,089
  4. Step 4: Simplify right side
    55,025x = 1,493,040,735.40
  5. Step 5: Solve for x
    x = 1,493,040,735.40/55,025
  6. Step 6: Final answer
    x = 27,133.86

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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.