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Finding the Fourth Proportional to 126,538.60, 189,880.80 and 47,709.40

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Solution

The fourth proportional to 126,538.60, 189,880.80 and 47,709.40 is: 71,591.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,538.60 : 189,880.80 = 47,709.40 : x
  2. Step 2: Convert to fraction form
    126,538.60/189,880.80 = 47,709.40/x
  3. Step 3: Cross multiply
    126,538.60x = 189,880.80 × 47,709.40
  4. Step 4: Simplify right side
    126,538.60x = 9,059,099,039.52
  5. Step 5: Solve for x
    x = 9,059,099,039.52/126,538.60
  6. Step 6: Final answer
    x = 71,591.59

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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.