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Finding the Fourth Proportional to 126,480.76, 189,702 and 47,576.63

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Solution

The fourth proportional to 126,480.76, 189,702 and 47,576.63 is: 71,357.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,480.76 : 189,702 = 47,576.63 : x
  2. Step 2: Convert to fraction form
    126,480.76/189,702 = 47,576.63/x
  3. Step 3: Cross multiply
    126,480.76x = 189,702 × 47,576.63
  4. Step 4: Simplify right side
    126,480.76x = 9,025,382,338.52
  5. Step 5: Solve for x
    x = 9,025,382,338.52/126,480.76
  6. Step 6: Final answer
    x = 71,357.75

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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.