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Finding the Fourth Proportional to 277,847.75, 416,723.32 and 78,120.73

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Solution

The fourth proportional to 277,847.75, 416,723.32 and 78,120.73 is: 117,167.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,847.75 : 416,723.32 = 78,120.73 : x
  2. Step 2: Convert to fraction form
    277,847.75/416,723.32 = 78,120.73/x
  3. Step 3: Cross multiply
    277,847.75x = 416,723.32 × 78,120.73
  4. Step 4: Simplify right side
    277,847.75x = 32,554,729,966.42
  5. Step 5: Solve for x
    x = 32,554,729,966.42/277,847.75
  6. Step 6: Final answer
    x = 117,167.51

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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.