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Finding the Fourth Proportional to 209,082.67, 288,540.02 and 113,595.21

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Solution

The fourth proportional to 209,082.67, 288,540.02 and 113,595.21 is: 156,764.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,082.67 : 288,540.02 = 113,595.21 : x
  2. Step 2: Convert to fraction form
    209,082.67/288,540.02 = 113,595.21/x
  3. Step 3: Cross multiply
    209,082.67x = 288,540.02 × 113,595.21
  4. Step 4: Simplify right side
    209,082.67x = 32,776,764,449.29
  5. Step 5: Solve for x
    x = 32,776,764,449.29/209,082.67
  6. Step 6: Final answer
    x = 156,764.62

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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.