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Finding the Fourth Proportional to 81,409.98, 122,160.33 and 43,969.26

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Solution

The fourth proportional to 81,409.98, 122,160.33 and 43,969.26 is: 65,978.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,409.98 : 122,160.33 = 43,969.26 : x
  2. Step 2: Convert to fraction form
    81,409.98/122,160.33 = 43,969.26/x
  3. Step 3: Cross multiply
    81,409.98x = 122,160.33 × 43,969.26
  4. Step 4: Simplify right side
    81,409.98x = 5,371,299,311.46
  5. Step 5: Solve for x
    x = 5,371,299,311.46/81,409.98
  6. Step 6: Final answer
    x = 65,978.39

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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.