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Finding the Fourth Proportional to 209,324.52, 288,865.80 and 113,832

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Solution

The fourth proportional to 209,324.52, 288,865.80 and 113,832 is: 157,087.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,324.52 : 288,865.80 = 113,832 : x
  2. Step 2: Convert to fraction form
    209,324.52/288,865.80 = 113,832/x
  3. Step 3: Cross multiply
    209,324.52x = 288,865.80 × 113,832
  4. Step 4: Simplify right side
    209,324.52x = 32,882,171,745.60
  5. Step 5: Solve for x
    x = 32,882,171,745.60/209,324.52
  6. Step 6: Final answer
    x = 157,087.05

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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.