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Finding the Fourth Proportional to 209,649.28, 289,283.44 and 120,208

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Solution

The fourth proportional to 209,649.28, 289,283.44 and 120,208 is: 165,868.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,649.28 : 289,283.44 = 120,208 : x
  2. Step 2: Convert to fraction form
    209,649.28/289,283.44 = 120,208/x
  3. Step 3: Cross multiply
    209,649.28x = 289,283.44 × 120,208
  4. Step 4: Simplify right side
    209,649.28x = 34,774,183,755.52
  5. Step 5: Solve for x
    x = 34,774,183,755.52/209,649.28
  6. Step 6: Final answer
    x = 165,868.37

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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.