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Finding the Fourth Proportional to 208,991.22, 288,453.84 and 137,377.92

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Solution

The fourth proportional to 208,991.22, 288,453.84 and 137,377.92 is: 189,611.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,991.22 : 288,453.84 = 137,377.92 : x
  2. Step 2: Convert to fraction form
    208,991.22/288,453.84 = 137,377.92/x
  3. Step 3: Cross multiply
    208,991.22x = 288,453.84 × 137,377.92
  4. Step 4: Simplify right side
    208,991.22x = 39,627,188,555.21
  5. Step 5: Solve for x
    x = 39,627,188,555.21/208,991.22
  6. Step 6: Final answer
    x = 189,611.74

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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.