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Finding the Fourth Proportional to 81,382.40, 121,976.40 and 41,919.20

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Solution

The fourth proportional to 81,382.40, 121,976.40 and 41,919.20 is: 62,828.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,382.40 : 121,976.40 = 41,919.20 : x
  2. Step 2: Convert to fraction form
    81,382.40/121,976.40 = 41,919.20/x
  3. Step 3: Cross multiply
    81,382.40x = 121,976.40 × 41,919.20
  4. Step 4: Simplify right side
    81,382.40x = 5,113,153,106.88
  5. Step 5: Solve for x
    x = 5,113,153,106.88/81,382.40
  6. Step 6: Final answer
    x = 62,828.73

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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.