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Finding the Fourth Proportional to 76,965.33, 106,229.86 and 45,144.48

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Solution

The fourth proportional to 76,965.33, 106,229.86 and 45,144.48 is: 62,309.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,965.33 : 106,229.86 = 45,144.48 : x
  2. Step 2: Convert to fraction form
    76,965.33/106,229.86 = 45,144.48/x
  3. Step 3: Cross multiply
    76,965.33x = 106,229.86 × 45,144.48
  4. Step 4: Simplify right side
    76,965.33x = 4,795,691,790.17
  5. Step 5: Solve for x
    x = 4,795,691,790.17/76,965.33
  6. Step 6: Final answer
    x = 62,309.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.