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Finding the Fourth Proportional to 149,304.06, 206,039.54 and 82,236.06

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Solution

The fourth proportional to 149,304.06, 206,039.54 and 82,236.06 is: 113,485.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,304.06 : 206,039.54 = 82,236.06 : x
  2. Step 2: Convert to fraction form
    149,304.06/206,039.54 = 82,236.06/x
  3. Step 3: Cross multiply
    149,304.06x = 206,039.54 × 82,236.06
  4. Step 4: Simplify right side
    149,304.06x = 16,943,879,973.81
  5. Step 5: Solve for x
    x = 16,943,879,973.81/149,304.06
  6. Step 6: Final answer
    x = 113,485.73

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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.