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Finding the Fourth Proportional to 76,800, 105,984 and 41,472

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Solution

The fourth proportional to 76,800, 105,984 and 41,472 is: 57,231.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,800 : 105,984 = 41,472 : x
  2. Step 2: Convert to fraction form
    76,800/105,984 = 41,472/x
  3. Step 3: Cross multiply
    76,800x = 105,984 × 41,472
  4. Step 4: Simplify right side
    76,800x = 4,395,368,448
  5. Step 5: Solve for x
    x = 4,395,368,448/76,800
  6. Step 6: Final answer
    x = 57,231.36

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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.