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Finding the Fourth Proportional to 81,935, 122,922 and 26,531

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Solution

The fourth proportional to 81,935, 122,922 and 26,531 is: 39,802.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,935 : 122,922 = 26,531 : x
  2. Step 2: Convert to fraction form
    81,935/122,922 = 26,531/x
  3. Step 3: Cross multiply
    81,935x = 122,922 × 26,531
  4. Step 4: Simplify right side
    81,935x = 3,261,243,582
  5. Step 5: Solve for x
    x = 3,261,243,582/81,935
  6. Step 6: Final answer
    x = 39,802.81

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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.