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Finding the Fourth Proportional to 53,830.54, 80,620.59 and 51,961.78

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Solution

The fourth proportional to 53,830.54, 80,620.59 and 51,961.78 is: 77,821.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,830.54 : 80,620.59 = 51,961.78 : x
  2. Step 2: Convert to fraction form
    53,830.54/80,620.59 = 51,961.78/x
  3. Step 3: Cross multiply
    53,830.54x = 80,620.59 × 51,961.78
  4. Step 4: Simplify right side
    53,830.54x = 4,189,189,361.05
  5. Step 5: Solve for x
    x = 4,189,189,361.05/53,830.54
  6. Step 6: Final answer
    x = 77,821.80

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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.