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Finding the Fourth Proportional to 129,682.56, 194,520 and 53,773.44

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Solution

The fourth proportional to 129,682.56, 194,520 and 53,773.44 is: 80,658.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,682.56 : 194,520 = 53,773.44 : x
  2. Step 2: Convert to fraction form
    129,682.56/194,520 = 53,773.44/x
  3. Step 3: Cross multiply
    129,682.56x = 194,520 × 53,773.44
  4. Step 4: Simplify right side
    129,682.56x = 10,460,009,548.80
  5. Step 5: Solve for x
    x = 10,460,009,548.80/129,682.56
  6. Step 6: Final answer
    x = 80,658.57

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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.