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Finding the Fourth Proportional to 129,644.61, 194,337.72 and 54,783.60

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Solution

The fourth proportional to 129,644.61, 194,337.72 and 54,783.60 is: 82,120.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,644.61 : 194,337.72 = 54,783.60 : x
  2. Step 2: Convert to fraction form
    129,644.61/194,337.72 = 54,783.60/x
  3. Step 3: Cross multiply
    129,644.61x = 194,337.72 × 54,783.60
  4. Step 4: Simplify right side
    129,644.61x = 10,646,519,917.39
  5. Step 5: Solve for x
    x = 10,646,519,917.39/129,644.61
  6. Step 6: Final answer
    x = 82,120.81

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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.