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Finding the Fourth Proportional to 149,786.08, 206,789.16 and 103,912

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Solution

The fourth proportional to 149,786.08, 206,789.16 and 103,912 is: 143,457.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,786.08 : 206,789.16 = 103,912 : x
  2. Step 2: Convert to fraction form
    149,786.08/206,789.16 = 103,912/x
  3. Step 3: Cross multiply
    149,786.08x = 206,789.16 × 103,912
  4. Step 4: Simplify right side
    149,786.08x = 21,487,875,193.92
  5. Step 5: Solve for x
    x = 21,487,875,193.92/149,786.08
  6. Step 6: Final answer
    x = 143,457.09

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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.