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Finding the Fourth Proportional to 76,230.40, 105,198 and 41,774.98

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Solution

The fourth proportional to 76,230.40, 105,198 and 41,774.98 is: 57,649.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,230.40 : 105,198 = 41,774.98 : x
  2. Step 2: Convert to fraction form
    76,230.40/105,198 = 41,774.98/x
  3. Step 3: Cross multiply
    76,230.40x = 105,198 × 41,774.98
  4. Step 4: Simplify right side
    76,230.40x = 4,394,644,346.04
  5. Step 5: Solve for x
    x = 4,394,644,346.04/76,230.40
  6. Step 6: Final answer
    x = 57,649.50

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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.