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Finding the Fourth Proportional to 274,840.71, 412,241.22 and 85,296.12

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Solution

The fourth proportional to 274,840.71, 412,241.22 and 85,296.12 is: 127,938.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,840.71 : 412,241.22 = 85,296.12 : x
  2. Step 2: Convert to fraction form
    274,840.71/412,241.22 = 85,296.12/x
  3. Step 3: Cross multiply
    274,840.71x = 412,241.22 × 85,296.12
  4. Step 4: Simplify right side
    274,840.71x = 35,162,576,570.07
  5. Step 5: Solve for x
    x = 35,162,576,570.07/274,840.71
  6. Step 6: Final answer
    x = 127,938.02

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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.