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Finding the Fourth Proportional to 194,563.20, 291,844.80 and 54,321.60

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Solution

The fourth proportional to 194,563.20, 291,844.80 and 54,321.60 is: 81,482.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,563.20 : 291,844.80 = 54,321.60 : x
  2. Step 2: Convert to fraction form
    194,563.20/291,844.80 = 54,321.60/x
  3. Step 3: Cross multiply
    194,563.20x = 291,844.80 × 54,321.60
  4. Step 4: Simplify right side
    194,563.20x = 15,853,476,487.68
  5. Step 5: Solve for x
    x = 15,853,476,487.68/194,563.20
  6. Step 6: Final answer
    x = 81,482.40

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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.