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Finding the Fourth Proportional to 209,740, 289,463.07 and 119,120.44

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Solution

The fourth proportional to 209,740, 289,463.07 and 119,120.44 is: 164,398.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,740 : 289,463.07 = 119,120.44 : x
  2. Step 2: Convert to fraction form
    209,740/289,463.07 = 119,120.44/x
  3. Step 3: Cross multiply
    209,740x = 289,463.07 × 119,120.44
  4. Step 4: Simplify right side
    209,740x = 34,480,968,262.15
  5. Step 5: Solve for x
    x = 34,480,968,262.15/209,740
  6. Step 6: Final answer
    x = 164,398.63

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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.