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Finding the Fourth Proportional to 209,282.98, 288,809.04 and 113,789.74

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Solution

The fourth proportional to 209,282.98, 288,809.04 and 113,789.74 is: 157,029.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,282.98 : 288,809.04 = 113,789.74 : x
  2. Step 2: Convert to fraction form
    209,282.98/288,809.04 = 113,789.74/x
  3. Step 3: Cross multiply
    209,282.98x = 288,809.04 × 113,789.74
  4. Step 4: Simplify right side
    209,282.98x = 32,863,505,571.25
  5. Step 5: Solve for x
    x = 32,863,505,571.25/209,282.98
  6. Step 6: Final answer
    x = 157,029.04

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.