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Finding the Fourth Proportional to 209,481.69, 289,082.30 and 113,986.74

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Solution

The fourth proportional to 209,481.69, 289,082.30 and 113,986.74 is: 157,300.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,481.69 : 289,082.30 = 113,986.74 : x
  2. Step 2: Convert to fraction form
    209,481.69/289,082.30 = 113,986.74/x
  3. Step 3: Cross multiply
    209,481.69x = 289,082.30 × 113,986.74
  4. Step 4: Simplify right side
    209,481.69x = 32,951,548,968.70
  5. Step 5: Solve for x
    x = 32,951,548,968.70/209,481.69
  6. Step 6: Final answer
    x = 157,300.38

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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.