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Finding the Fourth Proportional to 115,296, 172,944 and 27,744

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Solution

The fourth proportional to 115,296, 172,944 and 27,744 is: 41,616

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,296 : 172,944 = 27,744 : x
  2. Step 2: Convert to fraction form
    115,296/172,944 = 27,744/x
  3. Step 3: Cross multiply
    115,296x = 172,944 × 27,744
  4. Step 4: Simplify right side
    115,296x = 4,798,158,336
  5. Step 5: Solve for x
    x = 4,798,158,336/115,296
  6. Step 6: Final answer
    x = 41,616

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.