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Finding the Fourth Proportional to 84,321.62, 126,380.90 and 30,970.70

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Solution

The fourth proportional to 84,321.62, 126,380.90 and 30,970.70 is: 46,418.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,321.62 : 126,380.90 = 30,970.70 : x
  2. Step 2: Convert to fraction form
    84,321.62/126,380.90 = 30,970.70/x
  3. Step 3: Cross multiply
    84,321.62x = 126,380.90 × 30,970.70
  4. Step 4: Simplify right side
    84,321.62x = 3,914,104,939.63
  5. Step 5: Solve for x
    x = 3,914,104,939.63/84,321.62
  6. Step 6: Final answer
    x = 46,418.76

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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.