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Finding the Fourth Proportional to 149,329.48, 206,064.90 and 82,261.48

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Solution

The fourth proportional to 149,329.48, 206,064.90 and 82,261.48 is: 113,515.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,329.48 : 206,064.90 = 82,261.48 : x
  2. Step 2: Convert to fraction form
    149,329.48/206,064.90 = 82,261.48/x
  3. Step 3: Cross multiply
    149,329.48x = 206,064.90 × 82,261.48
  4. Step 4: Simplify right side
    149,329.48x = 16,951,203,650.05
  5. Step 5: Solve for x
    x = 16,951,203,650.05/149,329.48
  6. Step 6: Final answer
    x = 113,515.45

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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.