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Finding the Fourth Proportional to 194,043.20, 290,481.60 and 115,116.80

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Solution

The fourth proportional to 194,043.20, 290,481.60 and 115,116.80 is: 172,329.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,043.20 : 290,481.60 = 115,116.80 : x
  2. Step 2: Convert to fraction form
    194,043.20/290,481.60 = 115,116.80/x
  3. Step 3: Cross multiply
    194,043.20x = 290,481.60 × 115,116.80
  4. Step 4: Simplify right side
    194,043.20x = 33,439,312,250.88
  5. Step 5: Solve for x
    x = 33,439,312,250.88/194,043.20
  6. Step 6: Final answer
    x = 172,329.21

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1.5x scale

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.