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Finding the Fourth Proportional to 76,728.71, 115,092.81 and 34,559.43

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Solution

The fourth proportional to 76,728.71, 115,092.81 and 34,559.43 is: 51,839.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,728.71 : 115,092.81 = 34,559.43 : x
  2. Step 2: Convert to fraction form
    76,728.71/115,092.81 = 34,559.43/x
  3. Step 3: Cross multiply
    76,728.71x = 115,092.81 × 34,559.43
  4. Step 4: Simplify right side
    76,728.71x = 3,977,541,910.70
  5. Step 5: Solve for x
    x = 3,977,541,910.70/76,728.71
  6. Step 6: Final answer
    x = 51,839.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.