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Finding the Fourth Proportional to 273,916, 378,021.66 and 153,057.64

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Solution

The fourth proportional to 273,916, 378,021.66 and 153,057.64 is: 211,229.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,916 : 378,021.66 = 153,057.64 : x
  2. Step 2: Convert to fraction form
    273,916/378,021.66 = 153,057.64/x
  3. Step 3: Cross multiply
    273,916x = 378,021.66 × 153,057.64
  4. Step 4: Simplify right side
    273,916x = 57,859,103,148.48
  5. Step 5: Solve for x
    x = 57,859,103,148.48/273,916
  6. Step 6: Final answer
    x = 211,229.37

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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.