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Finding the Fourth Proportional to 255,842.25, 383,851.86 and 87,481.08

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Solution

The fourth proportional to 255,842.25, 383,851.86 and 87,481.08 is: 131,251.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,842.25 : 383,851.86 = 87,481.08 : x
  2. Step 2: Convert to fraction form
    255,842.25/383,851.86 = 87,481.08/x
  3. Step 3: Cross multiply
    255,842.25x = 383,851.86 × 87,481.08
  4. Step 4: Simplify right side
    255,842.25x = 33,579,775,272.81
  5. Step 5: Solve for x
    x = 33,579,775,272.81/255,842.25
  6. Step 6: Final answer
    x = 131,251.88

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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.