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Finding the Fourth Proportional to 55,175.20, 82,784.40 and 20,118.40

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Solution

The fourth proportional to 55,175.20, 82,784.40 and 20,118.40 is: 30,185.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,175.20 : 82,784.40 = 20,118.40 : x
  2. Step 2: Convert to fraction form
    55,175.20/82,784.40 = 20,118.40/x
  3. Step 3: Cross multiply
    55,175.20x = 82,784.40 × 20,118.40
  4. Step 4: Simplify right side
    55,175.20x = 1,665,489,672.96
  5. Step 5: Solve for x
    x = 1,665,489,672.96/55,175.20
  6. Step 6: Final answer
    x = 30,185.48

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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.