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Finding the Fourth Proportional to 75,162, 103,726.80 and 41,628

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Solution

The fourth proportional to 75,162, 103,726.80 and 41,628 is: 57,448.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,162 : 103,726.80 = 41,628 : x
  2. Step 2: Convert to fraction form
    75,162/103,726.80 = 41,628/x
  3. Step 3: Cross multiply
    75,162x = 103,726.80 × 41,628
  4. Step 4: Simplify right side
    75,162x = 4,317,939,230.40
  5. Step 5: Solve for x
    x = 4,317,939,230.40/75,162
  6. Step 6: Final answer
    x = 57,448.43

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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.