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Finding the Fourth Proportional to 263,641.80, 395,481.15 and 105,870.25

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Solution

The fourth proportional to 263,641.80, 395,481.15 and 105,870.25 is: 158,812.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,641.80 : 395,481.15 = 105,870.25 : x
  2. Step 2: Convert to fraction form
    263,641.80/395,481.15 = 105,870.25/x
  3. Step 3: Cross multiply
    263,641.80x = 395,481.15 × 105,870.25
  4. Step 4: Simplify right side
    263,641.80x = 41,869,688,220.79
  5. Step 5: Solve for x
    x = 41,869,688,220.79/263,641.80
  6. Step 6: Final answer
    x = 158,812.78

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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.