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Finding the Fourth Proportional to 81,870, 122,805 and 26,466

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Solution

The fourth proportional to 81,870, 122,805 and 26,466 is: 39,699

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,870 : 122,805 = 26,466 : x
  2. Step 2: Convert to fraction form
    81,870/122,805 = 26,466/x
  3. Step 3: Cross multiply
    81,870x = 122,805 × 26,466
  4. Step 4: Simplify right side
    81,870x = 3,250,157,130
  5. Step 5: Solve for x
    x = 3,250,157,130/81,870
  6. Step 6: Final answer
    x = 39,699

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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.