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Finding the Fourth Proportional to 274,836.68, 412,313.94 and 85,293.03

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Solution

The fourth proportional to 274,836.68, 412,313.94 and 85,293.03 is: 127,957.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,836.68 : 412,313.94 = 85,293.03 : x
  2. Step 2: Convert to fraction form
    274,836.68/412,313.94 = 85,293.03/x
  3. Step 3: Cross multiply
    274,836.68x = 412,313.94 × 85,293.03
  4. Step 4: Simplify right side
    274,836.68x = 35,167,505,253.84
  5. Step 5: Solve for x
    x = 35,167,505,253.84/274,836.68
  6. Step 6: Final answer
    x = 127,957.83

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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.