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Finding the Fourth Proportional to 215,072.78, 296,798.79 and 119,578.64

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Solution

The fourth proportional to 215,072.78, 296,798.79 and 119,578.64 is: 165,017.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,072.78 : 296,798.79 = 119,578.64 : x
  2. Step 2: Convert to fraction form
    215,072.78/296,798.79 = 119,578.64/x
  3. Step 3: Cross multiply
    215,072.78x = 296,798.79 × 119,578.64
  4. Step 4: Simplify right side
    215,072.78x = 35,490,795,661.85
  5. Step 5: Solve for x
    x = 35,490,795,661.85/215,072.78
  6. Step 6: Final answer
    x = 165,017.61

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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.