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Finding the Fourth Proportional to 81,664, 122,496 and 26,260

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Solution

The fourth proportional to 81,664, 122,496 and 26,260 is: 39,390

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,664 : 122,496 = 26,260 : x
  2. Step 2: Convert to fraction form
    81,664/122,496 = 26,260/x
  3. Step 3: Cross multiply
    81,664x = 122,496 × 26,260
  4. Step 4: Simplify right side
    81,664x = 3,216,744,960
  5. Step 5: Solve for x
    x = 3,216,744,960/81,664
  6. Step 6: Final answer
    x = 39,390

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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.