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Finding the Fourth Proportional to 81,941, 122,931 and 26,537

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Solution

The fourth proportional to 81,941, 122,931 and 26,537 is: 39,811.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,941 : 122,931 = 26,537 : x
  2. Step 2: Convert to fraction form
    81,941/122,931 = 26,537/x
  3. Step 3: Cross multiply
    81,941x = 122,931 × 26,537
  4. Step 4: Simplify right side
    81,941x = 3,262,219,947
  5. Step 5: Solve for x
    x = 3,262,219,947/81,941
  6. Step 6: Final answer
    x = 39,811.82

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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.