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Finding the Fourth Proportional to 55,220, 82,830.81 and 13,667

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Solution

The fourth proportional to 55,220, 82,830.81 and 13,667 is: 20,500.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,220 : 82,830.81 = 13,667 : x
  2. Step 2: Convert to fraction form
    55,220/82,830.81 = 13,667/x
  3. Step 3: Cross multiply
    55,220x = 82,830.81 × 13,667
  4. Step 4: Simplify right side
    55,220x = 1,132,048,680.27
  5. Step 5: Solve for x
    x = 1,132,048,680.27/55,220
  6. Step 6: Final answer
    x = 20,500.70

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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.