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Finding the Fourth Proportional to 81,731, 122,596.50 and 26,327

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Solution

The fourth proportional to 81,731, 122,596.50 and 26,327 is: 39,490.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,731 : 122,596.50 = 26,327 : x
  2. Step 2: Convert to fraction form
    81,731/122,596.50 = 26,327/x
  3. Step 3: Cross multiply
    81,731x = 122,596.50 × 26,327
  4. Step 4: Simplify right side
    81,731x = 3,227,598,055.50
  5. Step 5: Solve for x
    x = 3,227,598,055.50/81,731
  6. Step 6: Final answer
    x = 39,490.50

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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.