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Finding the Fourth Proportional to 189,539.76, 284,481.60 and 100,867.92

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Solution

The fourth proportional to 189,539.76, 284,481.60 and 100,867.92 is: 151,393.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,539.76 : 284,481.60 = 100,867.92 : x
  2. Step 2: Convert to fraction form
    189,539.76/284,481.60 = 100,867.92/x
  3. Step 3: Cross multiply
    189,539.76x = 284,481.60 × 100,867.92
  4. Step 4: Simplify right side
    189,539.76x = 28,695,067,270.27
  5. Step 5: Solve for x
    x = 28,695,067,270.27/189,539.76
  6. Step 6: Final answer
    x = 151,393.39

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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.