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Finding the Fourth Proportional to 149,558, 206,404.62 and 82,490

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Solution

The fourth proportional to 149,558, 206,404.62 and 82,490 is: 113,844.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,558 : 206,404.62 = 82,490 : x
  2. Step 2: Convert to fraction form
    149,558/206,404.62 = 82,490/x
  3. Step 3: Cross multiply
    149,558x = 206,404.62 × 82,490
  4. Step 4: Simplify right side
    149,558x = 17,026,317,103.80
  5. Step 5: Solve for x
    x = 17,026,317,103.80/149,558
  6. Step 6: Final answer
    x = 113,844.24

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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.