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Finding the Fourth Proportional to 263,059.80, 394,686.90 and 105,401.40

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Solution

The fourth proportional to 263,059.80, 394,686.90 and 105,401.40 is: 158,141.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,059.80 : 394,686.90 = 105,401.40 : x
  2. Step 2: Convert to fraction form
    263,059.80/394,686.90 = 105,401.40/x
  3. Step 3: Cross multiply
    263,059.80x = 394,686.90 × 105,401.40
  4. Step 4: Simplify right side
    263,059.80x = 41,600,551,821.66
  5. Step 5: Solve for x
    x = 41,600,551,821.66/263,059.80
  6. Step 6: Final answer
    x = 158,141.05

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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.