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Finding the Fourth Proportional to 263,145.88, 394,767.51 and 83,276.57

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Solution

The fourth proportional to 263,145.88, 394,767.51 and 83,276.57 is: 124,930.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,145.88 : 394,767.51 = 83,276.57 : x
  2. Step 2: Convert to fraction form
    263,145.88/394,767.51 = 83,276.57/x
  3. Step 3: Cross multiply
    263,145.88x = 394,767.51 × 83,276.57
  4. Step 4: Simplify right side
    263,145.88x = 32,874,883,763.86
  5. Step 5: Solve for x
    x = 32,874,883,763.86/263,145.88
  6. Step 6: Final answer
    x = 124,930.26

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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.