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Finding the Fourth Proportional to 55,203, 82,817.64 and 18,267

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Solution

The fourth proportional to 55,203, 82,817.64 and 18,267 is: 27,404.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,203 : 82,817.64 = 18,267 : x
  2. Step 2: Convert to fraction form
    55,203/82,817.64 = 18,267/x
  3. Step 3: Cross multiply
    55,203x = 82,817.64 × 18,267
  4. Step 4: Simplify right side
    55,203x = 1,512,829,829.88
  5. Step 5: Solve for x
    x = 1,512,829,829.88/55,203
  6. Step 6: Final answer
    x = 27,404.85

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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.