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Finding the Fourth Proportional to 149,118, 205,782.84 and 82,050

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Solution

The fourth proportional to 149,118, 205,782.84 and 82,050 is: 113,229

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,118 : 205,782.84 = 82,050 : x
  2. Step 2: Convert to fraction form
    149,118/205,782.84 = 82,050/x
  3. Step 3: Cross multiply
    149,118x = 205,782.84 × 82,050
  4. Step 4: Simplify right side
    149,118x = 16,884,482,022
  5. Step 5: Solve for x
    x = 16,884,482,022/149,118
  6. Step 6: Final answer
    x = 113,229

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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.