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Finding the Fourth Proportional to 87,648, 120,954.24 and 47,904

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Solution

The fourth proportional to 87,648, 120,954.24 and 47,904 is: 66,107.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,648 : 120,954.24 = 47,904 : x
  2. Step 2: Convert to fraction form
    87,648/120,954.24 = 47,904/x
  3. Step 3: Cross multiply
    87,648x = 120,954.24 × 47,904
  4. Step 4: Simplify right side
    87,648x = 5,794,191,912.96
  5. Step 5: Solve for x
    x = 5,794,191,912.96/87,648
  6. Step 6: Final answer
    x = 66,107.52

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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.