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Finding the Fourth Proportional to 77,291, 115,969.85 and 41,745.25

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Solution

The fourth proportional to 77,291, 115,969.85 and 41,745.25 is: 62,635.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,291 : 115,969.85 = 41,745.25 : x
  2. Step 2: Convert to fraction form
    77,291/115,969.85 = 41,745.25/x
  3. Step 3: Cross multiply
    77,291x = 115,969.85 × 41,745.25
  4. Step 4: Simplify right side
    77,291x = 4,841,190,380.71
  5. Step 5: Solve for x
    x = 4,841,190,380.71/77,291
  6. Step 6: Final answer
    x = 62,635.89

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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.