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Finding the Fourth Proportional to 85,311.40, 128,120.70 and 82,546.60

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Solution

The fourth proportional to 85,311.40, 128,120.70 and 82,546.60 is: 123,968.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,311.40 : 128,120.70 = 82,546.60 : x
  2. Step 2: Convert to fraction form
    85,311.40/128,120.70 = 82,546.60/x
  3. Step 3: Cross multiply
    85,311.40x = 128,120.70 × 82,546.60
  4. Step 4: Simplify right side
    85,311.40x = 10,575,928,174.62
  5. Step 5: Solve for x
    x = 10,575,928,174.62/85,311.40
  6. Step 6: Final answer
    x = 123,968.52

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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.