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Finding the Fourth Proportional to 109,382.80, 164,074.20 and 81,734.80

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Solution

The fourth proportional to 109,382.80, 164,074.20 and 81,734.80 is: 122,602.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,382.80 : 164,074.20 = 81,734.80 : x
  2. Step 2: Convert to fraction form
    109,382.80/164,074.20 = 81,734.80/x
  3. Step 3: Cross multiply
    109,382.80x = 164,074.20 × 81,734.80
  4. Step 4: Simplify right side
    109,382.80x = 13,410,571,922.16
  5. Step 5: Solve for x
    x = 13,410,571,922.16/109,382.80
  6. Step 6: Final answer
    x = 122,602.20

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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.