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Finding the Fourth Proportional to 209,604.56, 289,292.02 and 123,558.41

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Solution

The fourth proportional to 209,604.56, 289,292.02 and 123,558.41 is: 170,532.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,604.56 : 289,292.02 = 123,558.41 : x
  2. Step 2: Convert to fraction form
    209,604.56/289,292.02 = 123,558.41/x
  3. Step 3: Cross multiply
    209,604.56x = 289,292.02 × 123,558.41
  4. Step 4: Simplify right side
    209,604.56x = 35,744,462,016.89
  5. Step 5: Solve for x
    x = 35,744,462,016.89/209,604.56
  6. Step 6: Final answer
    x = 170,532.85

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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.