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Finding the Fourth Proportional to 149,961, 206,946.42 and 82,893

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Solution

The fourth proportional to 149,961, 206,946.42 and 82,893 is: 114,392.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,961 : 206,946.42 = 82,893 : x
  2. Step 2: Convert to fraction form
    149,961/206,946.42 = 82,893/x
  3. Step 3: Cross multiply
    149,961x = 206,946.42 × 82,893
  4. Step 4: Simplify right side
    149,961x = 17,154,409,593.06
  5. Step 5: Solve for x
    x = 17,154,409,593.06/149,961
  6. Step 6: Final answer
    x = 114,392.47

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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.