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Finding the Fourth Proportional to 209,638.80, 289,388.48 and 158,665.75

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Solution

The fourth proportional to 209,638.80, 289,388.48 and 158,665.75 is: 219,024.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,638.80 : 289,388.48 = 158,665.75 : x
  2. Step 2: Convert to fraction form
    209,638.80/289,388.48 = 158,665.75/x
  3. Step 3: Cross multiply
    209,638.80x = 289,388.48 × 158,665.75
  4. Step 4: Simplify right side
    209,638.80x = 45,916,040,220.56
  5. Step 5: Solve for x
    x = 45,916,040,220.56/209,638.80
  6. Step 6: Final answer
    x = 219,024.53

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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.