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Finding the Fourth Proportional to 149,405.54, 206,179.64 and 82,337.54

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Solution

The fourth proportional to 149,405.54, 206,179.64 and 82,337.54 is: 113,625.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,405.54 : 206,179.64 = 82,337.54 : x
  2. Step 2: Convert to fraction form
    149,405.54/206,179.64 = 82,337.54/x
  3. Step 3: Cross multiply
    149,405.54x = 206,179.64 × 82,337.54
  4. Step 4: Simplify right side
    149,405.54x = 16,976,322,913.10
  5. Step 5: Solve for x
    x = 16,976,322,913.10/149,405.54
  6. Step 6: Final answer
    x = 113,625.80

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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.