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Finding the Fourth Proportional to 55,736, 83,604 and 18,800

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Solution

The fourth proportional to 55,736, 83,604 and 18,800 is: 28,200

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,736 : 83,604 = 18,800 : x
  2. Step 2: Convert to fraction form
    55,736/83,604 = 18,800/x
  3. Step 3: Cross multiply
    55,736x = 83,604 × 18,800
  4. Step 4: Simplify right side
    55,736x = 1,571,755,200
  5. Step 5: Solve for x
    x = 1,571,755,200/55,736
  6. Step 6: Final answer
    x = 28,200

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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.