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Finding the Fourth Proportional to 75,735, 113,634.72 and 31,393.98

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Solution

The fourth proportional to 75,735, 113,634.72 and 31,393.98 is: 47,104.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,735 : 113,634.72 = 31,393.98 : x
  2. Step 2: Convert to fraction form
    75,735/113,634.72 = 31,393.98/x
  3. Step 3: Cross multiply
    75,735x = 113,634.72 × 31,393.98
  4. Step 4: Simplify right side
    75,735x = 3,567,446,126.99
  5. Step 5: Solve for x
    x = 3,567,446,126.99/75,735
  6. Step 6: Final answer
    x = 47,104.33

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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.