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Finding the Fourth Proportional to 264,023.78, 395,904.60 and 84,085.75

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Solution

The fourth proportional to 264,023.78, 395,904.60 and 84,085.75 is: 126,086.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,023.78 : 395,904.60 = 84,085.75 : x
  2. Step 2: Convert to fraction form
    264,023.78/395,904.60 = 84,085.75/x
  3. Step 3: Cross multiply
    264,023.78x = 395,904.60 × 84,085.75
  4. Step 4: Simplify right side
    264,023.78x = 33,289,935,219.45
  5. Step 5: Solve for x
    x = 33,289,935,219.45/264,023.78
  6. Step 6: Final answer
    x = 126,086.88

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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.