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Finding the Fourth Proportional to 209,211.65, 288,786.11 and 124,327.70

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Solution

The fourth proportional to 209,211.65, 288,786.11 and 124,327.70 is: 171,616.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,211.65 : 288,786.11 = 124,327.70 : x
  2. Step 2: Convert to fraction form
    209,211.65/288,786.11 = 124,327.70/x
  3. Step 3: Cross multiply
    209,211.65x = 288,786.11 × 124,327.70
  4. Step 4: Simplify right side
    209,211.65x = 35,904,110,782.68
  5. Step 5: Solve for x
    x = 35,904,110,782.68/209,211.65
  6. Step 6: Final answer
    x = 171,616.22

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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.