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Finding the Fourth Proportional to 137,575.98, 206,382.33 and 54,450.54

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Solution

The fourth proportional to 137,575.98, 206,382.33 and 54,450.54 is: 81,683.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,575.98 : 206,382.33 = 54,450.54 : x
  2. Step 2: Convert to fraction form
    137,575.98/206,382.33 = 54,450.54/x
  3. Step 3: Cross multiply
    137,575.98x = 206,382.33 × 54,450.54
  4. Step 4: Simplify right side
    137,575.98x = 11,237,629,314.96
  5. Step 5: Solve for x
    x = 11,237,629,314.96/137,575.98
  6. Step 6: Final answer
    x = 81,683.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.