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Finding the Fourth Proportional to 140,791.63, 194,297.31 and 77,129.41

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Solution

The fourth proportional to 140,791.63, 194,297.31 and 77,129.41 is: 106,441.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,791.63 : 194,297.31 = 77,129.41 : x
  2. Step 2: Convert to fraction form
    140,791.63/194,297.31 = 77,129.41/x
  3. Step 3: Cross multiply
    140,791.63x = 194,297.31 × 77,129.41
  4. Step 4: Simplify right side
    140,791.63x = 14,986,036,884.89
  5. Step 5: Solve for x
    x = 14,986,036,884.89/140,791.63
  6. Step 6: Final answer
    x = 106,441.25

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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.