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Finding the Fourth Proportional to 209,169.95, 288,658.79 and 113,682.79

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Solution

The fourth proportional to 209,169.95, 288,658.79 and 113,682.79 is: 156,884.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,169.95 : 288,658.79 = 113,682.79 : x
  2. Step 2: Convert to fraction form
    209,169.95/288,658.79 = 113,682.79/x
  3. Step 3: Cross multiply
    209,169.95x = 288,658.79 × 113,682.79
  4. Step 4: Simplify right side
    209,169.95x = 32,815,536,823.94
  5. Step 5: Solve for x
    x = 32,815,536,823.94/209,169.95
  6. Step 6: Final answer
    x = 156,884.57

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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.