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Finding the Fourth Proportional to 255,890.80, 384,028.20 and 131,167.60

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Solution

The fourth proportional to 255,890.80, 384,028.20 and 131,167.60 is: 196,849.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,890.80 : 384,028.20 = 131,167.60 : x
  2. Step 2: Convert to fraction form
    255,890.80/384,028.20 = 131,167.60/x
  3. Step 3: Cross multiply
    255,890.80x = 384,028.20 × 131,167.60
  4. Step 4: Simplify right side
    255,890.80x = 50,372,057,326.32
  5. Step 5: Solve for x
    x = 50,372,057,326.32/255,890.80
  6. Step 6: Final answer
    x = 196,849.82

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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.