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Finding the Fourth Proportional to 209,664.70, 289,297.89 and 123,650.79

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Solution

The fourth proportional to 209,664.70, 289,297.89 and 123,650.79 is: 170,614.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,664.70 : 289,297.89 = 123,650.79 : x
  2. Step 2: Convert to fraction form
    209,664.70/289,297.89 = 123,650.79/x
  3. Step 3: Cross multiply
    209,664.70x = 289,297.89 × 123,650.79
  4. Step 4: Simplify right side
    209,664.70x = 35,771,912,643.83
  5. Step 5: Solve for x
    x = 35,771,912,643.83/209,664.70
  6. Step 6: Final answer
    x = 170,614.86

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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.