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Finding the Fourth Proportional to 85,321,410.40, 127,982,115.60 and 84,471,104.80

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Solution

The fourth proportional to 85,321,410.40, 127,982,115.60 and 84,471,104.80 is: 126,706,657.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,321,410.40 : 127,982,115.60 = 84,471,104.80 : x
  2. Step 2: Convert to fraction form
    85,321,410.40/127,982,115.60 = 84,471,104.80/x
  3. Step 3: Cross multiply
    85,321,410.40x = 127,982,115.60 × 84,471,104.80
  4. Step 4: Simplify right side
    85,321,410.40x = 10,810,790,699,373,314
  5. Step 5: Solve for x
    x = 10,810,790,699,373,314/85,321,410.40
  6. Step 6: Final answer
    x = 126,706,657.20

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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.