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Finding the Fourth Proportional to 81,937.80, 122,849.10 and 31,998.60

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Solution

The fourth proportional to 81,937.80, 122,849.10 and 31,998.60 is: 47,975.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,937.80 : 122,849.10 = 31,998.60 : x
  2. Step 2: Convert to fraction form
    81,937.80/122,849.10 = 31,998.60/x
  3. Step 3: Cross multiply
    81,937.80x = 122,849.10 × 31,998.60
  4. Step 4: Simplify right side
    81,937.80x = 3,930,999,211.26
  5. Step 5: Solve for x
    x = 3,930,999,211.26/81,937.80
  6. Step 6: Final answer
    x = 47,975.41

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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.