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Finding the Fourth Proportional to 81,665, 122,497.50 and 26,261

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Solution

The fourth proportional to 81,665, 122,497.50 and 26,261 is: 39,391.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,665 : 122,497.50 = 26,261 : x
  2. Step 2: Convert to fraction form
    81,665/122,497.50 = 26,261/x
  3. Step 3: Cross multiply
    81,665x = 122,497.50 × 26,261
  4. Step 4: Simplify right side
    81,665x = 3,216,906,847.50
  5. Step 5: Solve for x
    x = 3,216,906,847.50/81,665
  6. Step 6: Final answer
    x = 39,391.50

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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.