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Finding the Fourth Proportional to 89,782.33, 134,340.84 and 71,958.94

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Solution

The fourth proportional to 89,782.33, 134,340.84 and 71,958.94 is: 107,671.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,782.33 : 134,340.84 = 71,958.94 : x
  2. Step 2: Convert to fraction form
    89,782.33/134,340.84 = 71,958.94/x
  3. Step 3: Cross multiply
    89,782.33x = 134,340.84 × 71,958.94
  4. Step 4: Simplify right side
    89,782.33x = 9,667,023,503.56
  5. Step 5: Solve for x
    x = 9,667,023,503.56/89,782.33
  6. Step 6: Final answer
    x = 107,671.78

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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.