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Finding the Fourth Proportional to 85,709.94, 128,647.84 and 41,367.92

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Solution

The fourth proportional to 85,709.94, 128,647.84 and 41,367.92 is: 62,091.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,709.94 : 128,647.84 = 41,367.92 : x
  2. Step 2: Convert to fraction form
    85,709.94/128,647.84 = 41,367.92/x
  3. Step 3: Cross multiply
    85,709.94x = 128,647.84 × 41,367.92
  4. Step 4: Simplify right side
    85,709.94x = 5,321,893,553.29
  5. Step 5: Solve for x
    x = 5,321,893,553.29/85,709.94
  6. Step 6: Final answer
    x = 62,091.91

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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.