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Finding the Fourth Proportional to 75,736, 113,636.22 and 31,394.98

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Solution

The fourth proportional to 75,736, 113,636.22 and 31,394.98 is: 47,105.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,736 : 113,636.22 = 31,394.98 : x
  2. Step 2: Convert to fraction form
    75,736/113,636.22 = 31,394.98/x
  3. Step 3: Cross multiply
    75,736x = 113,636.22 × 31,394.98
  4. Step 4: Simplify right side
    75,736x = 3,567,606,854.18
  5. Step 5: Solve for x
    x = 3,567,606,854.18/75,736
  6. Step 6: Final answer
    x = 47,105.83

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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.