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Finding the Fourth Proportional to 115,200, 172,800 and 27,648

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Solution

The fourth proportional to 115,200, 172,800 and 27,648 is: 41,472

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,200 : 172,800 = 27,648 : x
  2. Step 2: Convert to fraction form
    115,200/172,800 = 27,648/x
  3. Step 3: Cross multiply
    115,200x = 172,800 × 27,648
  4. Step 4: Simplify right side
    115,200x = 4,777,574,400
  5. Step 5: Solve for x
    x = 4,777,574,400/115,200
  6. Step 6: Final answer
    x = 41,472

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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.