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Finding the Fourth Proportional to 209,467, 289,083.90 and 120,043

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Solution

The fourth proportional to 209,467, 289,083.90 and 120,043 is: 165,670.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,467 : 289,083.90 = 120,043 : x
  2. Step 2: Convert to fraction form
    209,467/289,083.90 = 120,043/x
  3. Step 3: Cross multiply
    209,467x = 289,083.90 × 120,043
  4. Step 4: Simplify right side
    209,467x = 34,702,498,607.70
  5. Step 5: Solve for x
    x = 34,702,498,607.70/209,467
  6. Step 6: Final answer
    x = 165,670.48

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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.