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Finding the Fourth Proportional to 263,077.80, 394,616.70 and 105,330.60

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Solution

The fourth proportional to 263,077.80, 394,616.70 and 105,330.60 is: 157,995.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,077.80 : 394,616.70 = 105,330.60 : x
  2. Step 2: Convert to fraction form
    263,077.80/394,616.70 = 105,330.60/x
  3. Step 3: Cross multiply
    263,077.80x = 394,616.70 × 105,330.60
  4. Step 4: Simplify right side
    263,077.80x = 41,565,213,781.02
  5. Step 5: Solve for x
    x = 41,565,213,781.02/263,077.80
  6. Step 6: Final answer
    x = 157,995.90

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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.