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Finding the Fourth Proportional to 192,383.58, 288,575.37 and 52,142.21

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Solution

The fourth proportional to 192,383.58, 288,575.37 and 52,142.21 is: 78,213.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,383.58 : 288,575.37 = 52,142.21 : x
  2. Step 2: Convert to fraction form
    192,383.58/288,575.37 = 52,142.21/x
  3. Step 3: Cross multiply
    192,383.58x = 288,575.37 × 52,142.21
  4. Step 4: Simplify right side
    192,383.58x = 15,046,956,100.49
  5. Step 5: Solve for x
    x = 15,046,956,100.49/192,383.58
  6. Step 6: Final answer
    x = 78,213.31

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1.5x scale

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.