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Finding the Fourth Proportional to 149,337.98, 206,086.40 and 82,269.98

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Solution

The fourth proportional to 149,337.98, 206,086.40 and 82,269.98 is: 113,532.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,337.98 : 206,086.40 = 82,269.98 : x
  2. Step 2: Convert to fraction form
    149,337.98/206,086.40 = 82,269.98/x
  3. Step 3: Cross multiply
    149,337.98x = 206,086.40 × 82,269.98
  4. Step 4: Simplify right side
    149,337.98x = 16,954,723,181.51
  5. Step 5: Solve for x
    x = 16,954,723,181.51/149,337.98
  6. Step 6: Final answer
    x = 113,532.56

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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.