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Finding the Fourth Proportional to 149,476.98, 206,278.29 and 82,408.98

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Solution

The fourth proportional to 149,476.98, 206,278.29 and 82,408.98 is: 113,724.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,476.98 : 206,278.29 = 82,408.98 : x
  2. Step 2: Convert to fraction form
    149,476.98/206,278.29 = 82,408.98/x
  3. Step 3: Cross multiply
    149,476.98x = 206,278.29 × 82,408.98
  4. Step 4: Simplify right side
    149,476.98x = 16,999,183,475.04
  5. Step 5: Solve for x
    x = 16,999,183,475.04/149,476.98
  6. Step 6: Final answer
    x = 113,724.42

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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.