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Finding the Fourth Proportional to 81,712.80, 122,684.40 and 50,608.80

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Solution

The fourth proportional to 81,712.80, 122,684.40 and 50,608.80 is: 75,984.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,712.80 : 122,684.40 = 50,608.80 : x
  2. Step 2: Convert to fraction form
    81,712.80/122,684.40 = 50,608.80/x
  3. Step 3: Cross multiply
    81,712.80x = 122,684.40 × 50,608.80
  4. Step 4: Simplify right side
    81,712.80x = 6,208,910,262.72
  5. Step 5: Solve for x
    x = 6,208,910,262.72/81,712.80
  6. Step 6: Final answer
    x = 75,984.55

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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.