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Finding the Fourth Proportional to 85,280.40, 127,174.50 and 80,622

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Solution

The fourth proportional to 85,280.40, 127,174.50 and 80,622 is: 120,227.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,280.40 : 127,174.50 = 80,622 : x
  2. Step 2: Convert to fraction form
    85,280.40/127,174.50 = 80,622/x
  3. Step 3: Cross multiply
    85,280.40x = 127,174.50 × 80,622
  4. Step 4: Simplify right side
    85,280.40x = 10,253,062,539
  5. Step 5: Solve for x
    x = 10,253,062,539/85,280.40
  6. Step 6: Final answer
    x = 120,227.66

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.