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Finding the Fourth Proportional to 85,069, 127,604.58 and 29,665

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Solution

The fourth proportional to 85,069, 127,604.58 and 29,665 is: 44,497.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,069 : 127,604.58 = 29,665 : x
  2. Step 2: Convert to fraction form
    85,069/127,604.58 = 29,665/x
  3. Step 3: Cross multiply
    85,069x = 127,604.58 × 29,665
  4. Step 4: Simplify right side
    85,069x = 3,785,389,865.70
  5. Step 5: Solve for x
    x = 3,785,389,865.70/85,069
  6. Step 6: Final answer
    x = 44,497.88

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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.