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Finding the Fourth Proportional to 149,559, 206,406 and 82,491

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Solution

The fourth proportional to 149,559, 206,406 and 82,491 is: 113,845.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,559 : 206,406 = 82,491 : x
  2. Step 2: Convert to fraction form
    149,559/206,406 = 82,491/x
  3. Step 3: Cross multiply
    149,559x = 206,406 × 82,491
  4. Step 4: Simplify right side
    149,559x = 17,026,637,346
  5. Step 5: Solve for x
    x = 17,026,637,346/149,559
  6. Step 6: Final answer
    x = 113,845.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.