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Finding the Fourth Proportional to 209,755, 289,571.34 and 163,084.38

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Solution

The fourth proportional to 209,755, 289,571.34 and 163,084.38 is: 225,141.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,755 : 289,571.34 = 163,084.38 : x
  2. Step 2: Convert to fraction form
    209,755/289,571.34 = 163,084.38/x
  3. Step 3: Cross multiply
    209,755x = 289,571.34 × 163,084.38
  4. Step 4: Simplify right side
    209,755x = 47,224,562,449.67
  5. Step 5: Solve for x
    x = 47,224,562,449.67/209,755
  6. Step 6: Final answer
    x = 225,141.53

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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.