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Finding the Fourth Proportional to 129,693.40, 194,560.21 and 54,813.86

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Solution

The fourth proportional to 129,693.40, 194,560.21 and 54,813.86 is: 82,229.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,693.40 : 194,560.21 = 54,813.86 : x
  2. Step 2: Convert to fraction form
    129,693.40/194,560.21 = 54,813.86/x
  3. Step 3: Cross multiply
    129,693.40x = 194,560.21 × 54,813.86
  4. Step 4: Simplify right side
    129,693.40x = 10,664,594,865.64
  5. Step 5: Solve for x
    x = 10,664,594,865.64/129,693.40
  6. Step 6: Final answer
    x = 82,229.28

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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.