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Finding the Fourth Proportional to 87,104, 120,224 and 51,796.48

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Solution

The fourth proportional to 87,104, 120,224 and 51,796.48 is: 71,491.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,104 : 120,224 = 51,796.48 : x
  2. Step 2: Convert to fraction form
    87,104/120,224 = 51,796.48/x
  3. Step 3: Cross multiply
    87,104x = 120,224 × 51,796.48
  4. Step 4: Simplify right side
    87,104x = 6,227,180,011.52
  5. Step 5: Solve for x
    x = 6,227,180,011.52/87,104
  6. Step 6: Final answer
    x = 71,491.32

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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.