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Finding the Fourth Proportional to 149,388.54, 206,155.17 and 82,320.54

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Solution

The fourth proportional to 149,388.54, 206,155.17 and 82,320.54 is: 113,601.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,388.54 : 206,155.17 = 82,320.54 : x
  2. Step 2: Convert to fraction form
    149,388.54/206,155.17 = 82,320.54/x
  3. Step 3: Cross multiply
    149,388.54x = 206,155.17 × 82,320.54
  4. Step 4: Simplify right side
    149,388.54x = 16,970,804,918.19
  5. Step 5: Solve for x
    x = 16,970,804,918.19/149,388.54
  6. Step 6: Final answer
    x = 113,601.79

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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.