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Finding the Fourth Proportional to 128,408.58, 192,508.47 and 53,584.47

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Solution

The fourth proportional to 128,408.58, 192,508.47 and 53,584.47 is: 80,333.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,408.58 : 192,508.47 = 53,584.47 : x
  2. Step 2: Convert to fraction form
    128,408.58/192,508.47 = 53,584.47/x
  3. Step 3: Cross multiply
    128,408.58x = 192,508.47 × 53,584.47
  4. Step 4: Simplify right side
    128,408.58x = 10,315,464,335.46
  5. Step 5: Solve for x
    x = 10,315,464,335.46/128,408.58
  6. Step 6: Final answer
    x = 80,333.14

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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.