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Finding the Fourth Proportional to 129,840.56, 194,782.37 and 45,578.87

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Solution

The fourth proportional to 129,840.56, 194,782.37 and 45,578.87 is: 68,375.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,840.56 : 194,782.37 = 45,578.87 : x
  2. Step 2: Convert to fraction form
    129,840.56/194,782.37 = 45,578.87/x
  3. Step 3: Cross multiply
    129,840.56x = 194,782.37 × 45,578.87
  4. Step 4: Simplify right side
    129,840.56x = 8,877,959,118.72
  5. Step 5: Solve for x
    x = 8,877,959,118.72/129,840.56
  6. Step 6: Final answer
    x = 68,375.86

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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.