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Finding the Fourth Proportional to 149,390.08, 206,166 and 82,322.08

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Solution

The fourth proportional to 149,390.08, 206,166 and 82,322.08 is: 113,608.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,390.08 : 206,166 = 82,322.08 : x
  2. Step 2: Convert to fraction form
    149,390.08/206,166 = 82,322.08/x
  3. Step 3: Cross multiply
    149,390.08x = 206,166 × 82,322.08
  4. Step 4: Simplify right side
    149,390.08x = 16,972,013,945.28
  5. Step 5: Solve for x
    x = 16,972,013,945.28/149,390.08
  6. Step 6: Final answer
    x = 113,608.71

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1.5x scale

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.