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Finding the Fourth Proportional to 129,576.90, 194,393.03 and 45,339.82

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Solution

The fourth proportional to 129,576.90, 194,393.03 and 45,339.82 is: 68,019.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,576.90 : 194,393.03 = 45,339.82 : x
  2. Step 2: Convert to fraction form
    129,576.90/194,393.03 = 45,339.82/x
  3. Step 3: Cross multiply
    129,576.90x = 194,393.03 × 45,339.82
  4. Step 4: Simplify right side
    129,576.90x = 8,813,744,989.45
  5. Step 5: Solve for x
    x = 8,813,744,989.45/129,576.90
  6. Step 6: Final answer
    x = 68,019.42

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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.