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Finding the Fourth Proportional to 209,857.69, 289,593.79 and 119,211.40

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Solution

The fourth proportional to 209,857.69, 289,593.79 and 119,211.40 is: 164,506.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,857.69 : 289,593.79 = 119,211.40 : x
  2. Step 2: Convert to fraction form
    209,857.69/289,593.79 = 119,211.40/x
  3. Step 3: Cross multiply
    209,857.69x = 289,593.79 × 119,211.40
  4. Step 4: Simplify right side
    209,857.69x = 34,522,881,137.21
  5. Step 5: Solve for x
    x = 34,522,881,137.21/209,857.69
  6. Step 6: Final answer
    x = 164,506.15

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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.