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Finding the Fourth Proportional to 76,813.86, 105,943.04 and 49,964.94

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Solution

The fourth proportional to 76,813.86, 105,943.04 and 49,964.94 is: 68,912.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,813.86 : 105,943.04 = 49,964.94 : x
  2. Step 2: Convert to fraction form
    76,813.86/105,943.04 = 49,964.94/x
  3. Step 3: Cross multiply
    76,813.86x = 105,943.04 × 49,964.94
  4. Step 4: Simplify right side
    76,813.86x = 5,293,437,387.19
  5. Step 5: Solve for x
    x = 5,293,437,387.19/76,813.86
  6. Step 6: Final answer
    x = 68,912.53

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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.