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Finding the Fourth Proportional to 208,778.40, 288,188.90 and 123,895.44

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Solution

The fourth proportional to 208,778.40, 288,188.90 and 123,895.44 is: 171,020.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,778.40 : 288,188.90 = 123,895.44 : x
  2. Step 2: Convert to fraction form
    208,778.40/288,188.90 = 123,895.44/x
  3. Step 3: Cross multiply
    208,778.40x = 288,188.90 × 123,895.44
  4. Step 4: Simplify right side
    208,778.40x = 35,705,290,568.62
  5. Step 5: Solve for x
    x = 35,705,290,568.62/208,778.40
  6. Step 6: Final answer
    x = 171,020.04

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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.