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Finding the Fourth Proportional to 129,840.20, 194,833.20 and 54,947.60

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Solution

The fourth proportional to 129,840.20, 194,833.20 and 54,947.60 is: 82,452.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,840.20 : 194,833.20 = 54,947.60 : x
  2. Step 2: Convert to fraction form
    129,840.20/194,833.20 = 54,947.60/x
  3. Step 3: Cross multiply
    129,840.20x = 194,833.20 × 54,947.60
  4. Step 4: Simplify right side
    129,840.20x = 10,705,616,740.32
  5. Step 5: Solve for x
    x = 10,705,616,740.32/129,840.20
  6. Step 6: Final answer
    x = 82,452.25

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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.