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Finding the Fourth Proportional to 209,503.86, 289,121.89 and 118,863.65

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Solution

The fourth proportional to 209,503.86, 289,121.89 and 118,863.65 is: 164,035.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,503.86 : 289,121.89 = 118,863.65 : x
  2. Step 2: Convert to fraction form
    209,503.86/289,121.89 = 118,863.65/x
  3. Step 3: Cross multiply
    209,503.86x = 289,121.89 × 118,863.65
  4. Step 4: Simplify right side
    209,503.86x = 34,366,081,694.69
  5. Step 5: Solve for x
    x = 34,366,081,694.69/209,503.86
  6. Step 6: Final answer
    x = 164,035.55

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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.