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Finding the Fourth Proportional to 149,644, 206,513.04 and 82,580.32

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Solution

The fourth proportional to 149,644, 206,513.04 and 82,580.32 is: 113,963.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,644 : 206,513.04 = 82,580.32 : x
  2. Step 2: Convert to fraction form
    149,644/206,513.04 = 82,580.32/x
  3. Step 3: Cross multiply
    149,644x = 206,513.04 × 82,580.32
  4. Step 4: Simplify right side
    149,644x = 17,053,912,927.37
  5. Step 5: Solve for x
    x = 17,053,912,927.37/149,644
  6. Step 6: Final answer
    x = 113,963.23

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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.