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Finding the Fourth Proportional to 263,643.55, 395,483.77 and 105,872

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Solution

The fourth proportional to 263,643.55, 395,483.77 and 105,872 is: 158,815.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,643.55 : 395,483.77 = 105,872 : x
  2. Step 2: Convert to fraction form
    263,643.55/395,483.77 = 105,872/x
  3. Step 3: Cross multiply
    263,643.55x = 395,483.77 × 105,872
  4. Step 4: Simplify right side
    263,643.55x = 41,870,657,697.44
  5. Step 5: Solve for x
    x = 41,870,657,697.44/263,643.55
  6. Step 6: Final answer
    x = 158,815.41

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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.