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Finding the Fourth Proportional to 209,286.48, 288,813.85 and 113,793.15

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Solution

The fourth proportional to 209,286.48, 288,813.85 and 113,793.15 is: 157,033.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,286.48 : 288,813.85 = 113,793.15 : x
  2. Step 2: Convert to fraction form
    209,286.48/288,813.85 = 113,793.15/x
  3. Step 3: Cross multiply
    209,286.48x = 288,813.85 × 113,793.15
  4. Step 4: Simplify right side
    209,286.48x = 32,865,039,193.78
  5. Step 5: Solve for x
    x = 32,865,039,193.78/209,286.48
  6. Step 6: Final answer
    x = 157,033.74

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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.