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Finding the Fourth Proportional to 81,940, 122,929.50 and 26,536

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Solution

The fourth proportional to 81,940, 122,929.50 and 26,536 is: 39,810.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,940 : 122,929.50 = 26,536 : x
  2. Step 2: Convert to fraction form
    81,940/122,929.50 = 26,536/x
  3. Step 3: Cross multiply
    81,940x = 122,929.50 × 26,536
  4. Step 4: Simplify right side
    81,940x = 3,262,057,212
  5. Step 5: Solve for x
    x = 3,262,057,212/81,940
  6. Step 6: Final answer
    x = 39,810.32

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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.