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Finding the Fourth Proportional to 55,180, 82,782.96 and 18,244

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Solution

The fourth proportional to 55,180, 82,782.96 and 18,244 is: 27,370.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,180 : 82,782.96 = 18,244 : x
  2. Step 2: Convert to fraction form
    55,180/82,782.96 = 18,244/x
  3. Step 3: Cross multiply
    55,180x = 82,782.96 × 18,244
  4. Step 4: Simplify right side
    55,180x = 1,510,292,322.24
  5. Step 5: Solve for x
    x = 1,510,292,322.24/55,180
  6. Step 6: Final answer
    x = 27,370.28

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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.