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Finding the Fourth Proportional to 75,761.65, 104,512.64 and 57,825.52

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Solution

The fourth proportional to 75,761.65, 104,512.64 and 57,825.52 is: 79,769.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,761.65 : 104,512.64 = 57,825.52 : x
  2. Step 2: Convert to fraction form
    75,761.65/104,512.64 = 57,825.52/x
  3. Step 3: Cross multiply
    75,761.65x = 104,512.64 × 57,825.52
  4. Step 4: Simplify right side
    75,761.65x = 6,043,497,754.57
  5. Step 5: Solve for x
    x = 6,043,497,754.57/75,761.65
  6. Step 6: Final answer
    x = 79,769.88

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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.