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Finding the Fourth Proportional to 76,830.97, 105,785.46 and 65,323.25

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Solution

The fourth proportional to 76,830.97, 105,785.46 and 65,323.25 is: 89,940.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,830.97 : 105,785.46 = 65,323.25 : x
  2. Step 2: Convert to fraction form
    76,830.97/105,785.46 = 65,323.25/x
  3. Step 3: Cross multiply
    76,830.97x = 105,785.46 × 65,323.25
  4. Step 4: Simplify right side
    76,830.97x = 6,910,250,049.95
  5. Step 5: Solve for x
    x = 6,910,250,049.95/76,830.97
  6. Step 6: Final answer
    x = 89,940.95

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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.