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Finding the Fourth Proportional to 209,391.75, 288,964.26 and 113,900.04

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Solution

The fourth proportional to 209,391.75, 288,964.26 and 113,900.04 is: 157,184.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,391.75 : 288,964.26 = 113,900.04 : x
  2. Step 2: Convert to fraction form
    209,391.75/288,964.26 = 113,900.04/x
  3. Step 3: Cross multiply
    209,391.75x = 288,964.26 × 113,900.04
  4. Step 4: Simplify right side
    209,391.75x = 32,913,040,772.57
  5. Step 5: Solve for x
    x = 32,913,040,772.57/209,391.75
  6. Step 6: Final answer
    x = 157,184.04

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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.