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Finding the Fourth Proportional to 149,796.73, 206,718.36 and 81,813.73

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Solution

The fourth proportional to 149,796.73, 206,718.36 and 81,813.73 is: 112,902.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,796.73 : 206,718.36 = 81,813.73 : x
  2. Step 2: Convert to fraction form
    149,796.73/206,718.36 = 81,813.73/x
  3. Step 3: Cross multiply
    149,796.73x = 206,718.36 × 81,813.73
  4. Step 4: Simplify right side
    149,796.73x = 16,912,400,091.08
  5. Step 5: Solve for x
    x = 16,912,400,091.08/149,796.73
  6. Step 6: Final answer
    x = 112,902.33

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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.