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Finding the Fourth Proportional to 81,915, 122,892 and 26,511

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Solution

The fourth proportional to 81,915, 122,892 and 26,511 is: 39,772.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,915 : 122,892 = 26,511 : x
  2. Step 2: Convert to fraction form
    81,915/122,892 = 26,511/x
  3. Step 3: Cross multiply
    81,915x = 122,892 × 26,511
  4. Step 4: Simplify right side
    81,915x = 3,257,989,812
  5. Step 5: Solve for x
    x = 3,257,989,812/81,915
  6. Step 6: Final answer
    x = 39,772.81

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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.