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Finding the Fourth Proportional to 149,800.28, 206,705.34 and 82,728.28

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Solution

The fourth proportional to 149,800.28, 206,705.34 and 82,728.28 is: 114,154.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,800.28 : 206,705.34 = 82,728.28 : x
  2. Step 2: Convert to fraction form
    149,800.28/206,705.34 = 82,728.28/x
  3. Step 3: Cross multiply
    149,800.28x = 206,705.34 × 82,728.28
  4. Step 4: Simplify right side
    149,800.28x = 17,100,377,245.02
  5. Step 5: Solve for x
    x = 17,100,377,245.02/149,800.28
  6. Step 6: Final answer
    x = 114,154.51

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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.