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Finding the Fourth Proportional to 55,083, 82,637.46 and 18,147

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Solution

The fourth proportional to 55,083, 82,637.46 and 18,147 is: 27,224.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,083 : 82,637.46 = 18,147 : x
  2. Step 2: Convert to fraction form
    55,083/82,637.46 = 18,147/x
  3. Step 3: Cross multiply
    55,083x = 82,637.46 × 18,147
  4. Step 4: Simplify right side
    55,083x = 1,499,621,986.62
  5. Step 5: Solve for x
    x = 1,499,621,986.62/55,083
  6. Step 6: Final answer
    x = 27,224.77

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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.