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Finding the Fourth Proportional to 76,539.83, 105,676.49 and 68,448.38

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Solution

The fourth proportional to 76,539.83, 105,676.49 and 68,448.38 is: 94,504.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,539.83 : 105,676.49 = 68,448.38 : x
  2. Step 2: Convert to fraction form
    76,539.83/105,676.49 = 68,448.38/x
  3. Step 3: Cross multiply
    76,539.83x = 105,676.49 × 68,448.38
  4. Step 4: Simplify right side
    76,539.83x = 7,233,384,583.61
  5. Step 5: Solve for x
    x = 7,233,384,583.61/76,539.83
  6. Step 6: Final answer
    x = 94,504.85

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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.