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Finding the Fourth Proportional to 149,904, 206,868.06 and 82,836

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Solution

The fourth proportional to 149,904, 206,868.06 and 82,836 is: 114,313.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,904 : 206,868.06 = 82,836 : x
  2. Step 2: Convert to fraction form
    149,904/206,868.06 = 82,836/x
  3. Step 3: Cross multiply
    149,904x = 206,868.06 × 82,836
  4. Step 4: Simplify right side
    149,904x = 17,136,122,618.16
  5. Step 5: Solve for x
    x = 17,136,122,618.16/149,904
  6. Step 6: Final answer
    x = 114,313.98

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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.