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Finding the Fourth Proportional to 85,057.67, 127,274.45 and 70,982.94

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Solution

The fourth proportional to 85,057.67, 127,274.45 and 70,982.94 is: 106,213.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,057.67 : 127,274.45 = 70,982.94 : x
  2. Step 2: Convert to fraction form
    85,057.67/127,274.45 = 70,982.94/x
  3. Step 3: Cross multiply
    85,057.67x = 127,274.45 × 70,982.94
  4. Step 4: Simplify right side
    85,057.67x = 9,034,314,292.97
  5. Step 5: Solve for x
    x = 9,034,314,292.97/85,057.67
  6. Step 6: Final answer
    x = 106,213.99

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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.