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Finding the Fourth Proportional to 78,262.88, 117,394.31 and 36,709.88

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Solution

The fourth proportional to 78,262.88, 117,394.31 and 36,709.88 is: 55,064.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,262.88 : 117,394.31 = 36,709.88 : x
  2. Step 2: Convert to fraction form
    78,262.88/117,394.31 = 36,709.88/x
  3. Step 3: Cross multiply
    78,262.88x = 117,394.31 × 36,709.88
  4. Step 4: Simplify right side
    78,262.88x = 4,309,530,537.59
  5. Step 5: Solve for x
    x = 4,309,530,537.59/78,262.88
  6. Step 6: Final answer
    x = 55,064.81

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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.