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Finding the Fourth Proportional to 209,715.69, 289,436.22 and 123,698.97

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Solution

The fourth proportional to 209,715.69, 289,436.22 and 123,698.97 is: 170,721.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,715.69 : 289,436.22 = 123,698.97 : x
  2. Step 2: Convert to fraction form
    209,715.69/289,436.22 = 123,698.97/x
  3. Step 3: Cross multiply
    209,715.69x = 289,436.22 × 123,698.97
  4. Step 4: Simplify right side
    209,715.69x = 35,802,962,294.69
  5. Step 5: Solve for x
    x = 35,802,962,294.69/209,715.69
  6. Step 6: Final answer
    x = 170,721.43

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1.5x scale

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.