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Finding the Fourth Proportional to 132,811.63, 199,215.60 and 75,763.81

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Solution

The fourth proportional to 132,811.63, 199,215.60 and 75,763.81 is: 113,644.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,811.63 : 199,215.60 = 75,763.81 : x
  2. Step 2: Convert to fraction form
    132,811.63/199,215.60 = 75,763.81/x
  3. Step 3: Cross multiply
    132,811.63x = 199,215.60 × 75,763.81
  4. Step 4: Simplify right side
    132,811.63x = 15,093,332,137.92
  5. Step 5: Solve for x
    x = 15,093,332,137.92/132,811.63
  6. Step 6: Final answer
    x = 113,644.65

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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.