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Finding the Fourth Proportional to 192,262.22, 288,205.88 and 76,822.31

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Solution

The fourth proportional to 192,262.22, 288,205.88 and 76,822.31 is: 115,158.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,262.22 : 288,205.88 = 76,822.31 : x
  2. Step 2: Convert to fraction form
    192,262.22/288,205.88 = 76,822.31/x
  3. Step 3: Cross multiply
    192,262.22x = 288,205.88 × 76,822.31
  4. Step 4: Simplify right side
    192,262.22x = 22,140,640,352.56
  5. Step 5: Solve for x
    x = 22,140,640,352.56/192,262.22
  6. Step 6: Final answer
    x = 115,158.56

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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.