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Finding the Fourth Proportional to 75,782.71, 104,578.12 and 41,790.61

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Solution

The fourth proportional to 75,782.71, 104,578.12 and 41,790.61 is: 57,669.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,782.71 : 104,578.12 = 41,790.61 : x
  2. Step 2: Convert to fraction form
    75,782.71/104,578.12 = 41,790.61/x
  3. Step 3: Cross multiply
    75,782.71x = 104,578.12 × 41,790.61
  4. Step 4: Simplify right side
    75,782.71x = 4,370,383,427.45
  5. Step 5: Solve for x
    x = 4,370,383,427.45/75,782.71
  6. Step 6: Final answer
    x = 57,669.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.