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Finding the Fourth Proportional to 149,394.32, 206,164.20 and 82,326.32

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Solution

The fourth proportional to 149,394.32, 206,164.20 and 82,326.32 is: 113,610.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,394.32 : 206,164.20 = 82,326.32 : x
  2. Step 2: Convert to fraction form
    149,394.32/206,164.20 = 82,326.32/x
  3. Step 3: Cross multiply
    149,394.32x = 206,164.20 × 82,326.32
  4. Step 4: Simplify right side
    149,394.32x = 16,972,739,901.74
  5. Step 5: Solve for x
    x = 16,972,739,901.74/149,394.32
  6. Step 6: Final answer
    x = 113,610.34

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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.