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Finding the Fourth Proportional to 76,590, 105,694.38 and 44,776.44

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Solution

The fourth proportional to 76,590, 105,694.38 and 44,776.44 is: 61,791.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,590 : 105,694.38 = 44,776.44 : x
  2. Step 2: Convert to fraction form
    76,590/105,694.38 = 44,776.44/x
  3. Step 3: Cross multiply
    76,590x = 105,694.38 × 44,776.44
  4. Step 4: Simplify right side
    76,590x = 4,732,618,064.41
  5. Step 5: Solve for x
    x = 4,732,618,064.41/76,590
  6. Step 6: Final answer
    x = 61,791.59

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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.