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Finding the Fourth Proportional to 215,156.85, 296,926.97 and 119,661.49

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Solution

The fourth proportional to 215,156.85, 296,926.97 and 119,661.49 is: 165,138.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,156.85 : 296,926.97 = 119,661.49 : x
  2. Step 2: Convert to fraction form
    215,156.85/296,926.97 = 119,661.49/x
  3. Step 3: Cross multiply
    215,156.85x = 296,926.97 × 119,661.49
  4. Step 4: Simplify right side
    215,156.85x = 35,530,723,651.39
  5. Step 5: Solve for x
    x = 35,530,723,651.39/215,156.85
  6. Step 6: Final answer
    x = 165,138.71

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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.