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Finding the Fourth Proportional to 209,812, 289,543.44 and 120,388

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Solution

The fourth proportional to 209,812, 289,543.44 and 120,388 is: 166,137.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,812 : 289,543.44 = 120,388 : x
  2. Step 2: Convert to fraction form
    209,812/289,543.44 = 120,388/x
  3. Step 3: Cross multiply
    209,812x = 289,543.44 × 120,388
  4. Step 4: Simplify right side
    209,812x = 34,857,555,654.72
  5. Step 5: Solve for x
    x = 34,857,555,654.72/209,812
  6. Step 6: Final answer
    x = 166,137.09

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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.