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Finding the Fourth Proportional to 126,276.96, 189,445.92 and 47,392

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Solution

The fourth proportional to 126,276.96, 189,445.92 and 47,392 is: 71,099.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,276.96 : 189,445.92 = 47,392 : x
  2. Step 2: Convert to fraction form
    126,276.96/189,445.92 = 47,392/x
  3. Step 3: Cross multiply
    126,276.96x = 189,445.92 × 47,392
  4. Step 4: Simplify right side
    126,276.96x = 8,978,221,040.64
  5. Step 5: Solve for x
    x = 8,978,221,040.64/126,276.96
  6. Step 6: Final answer
    x = 71,099.44

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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.