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Finding the Fourth Proportional to 132,351.70, 198,415.90 and 57,415.43

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Solution

The fourth proportional to 132,351.70, 198,415.90 and 57,415.43 is: 86,074.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,351.70 : 198,415.90 = 57,415.43 : x
  2. Step 2: Convert to fraction form
    132,351.70/198,415.90 = 57,415.43/x
  3. Step 3: Cross multiply
    132,351.70x = 198,415.90 × 57,415.43
  4. Step 4: Simplify right side
    132,351.70x = 11,392,134,217.34
  5. Step 5: Solve for x
    x = 11,392,134,217.34/132,351.70
  6. Step 6: Final answer
    x = 86,074.71

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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.