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Finding the Fourth Proportional to 75,846.86, 113,770.34 and 31,461.70

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Solution

The fourth proportional to 75,846.86, 113,770.34 and 31,461.70 is: 47,192.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,846.86 : 113,770.34 = 31,461.70 : x
  2. Step 2: Convert to fraction form
    75,846.86/113,770.34 = 31,461.70/x
  3. Step 3: Cross multiply
    75,846.86x = 113,770.34 × 31,461.70
  4. Step 4: Simplify right side
    75,846.86x = 3,579,408,305.98
  5. Step 5: Solve for x
    x = 3,579,408,305.98/75,846.86
  6. Step 6: Final answer
    x = 47,192.57

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