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Finding the Fourth Proportional to 83,809, 125,692.78 and 50,084.68

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Solution

The fourth proportional to 83,809, 125,692.78 and 50,084.68 is: 75,114.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,809 : 125,692.78 = 50,084.68 : x
  2. Step 2: Convert to fraction form
    83,809/125,692.78 = 50,084.68/x
  3. Step 3: Cross multiply
    83,809x = 125,692.78 × 50,084.68
  4. Step 4: Simplify right side
    83,809x = 6,295,282,664.61
  5. Step 5: Solve for x
    x = 6,295,282,664.61/83,809
  6. Step 6: Final answer
    x = 75,114.64

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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.