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Finding the Fourth Proportional to 129,576.30, 194,391.72 and 73,443.30

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Solution

The fourth proportional to 129,576.30, 194,391.72 and 73,443.30 is: 110,180.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,576.30 : 194,391.72 = 73,443.30 : x
  2. Step 2: Convert to fraction form
    129,576.30/194,391.72 = 73,443.30/x
  3. Step 3: Cross multiply
    129,576.30x = 194,391.72 × 73,443.30
  4. Step 4: Simplify right side
    129,576.30x = 14,276,769,409.48
  5. Step 5: Solve for x
    x = 14,276,769,409.48/129,576.30
  6. Step 6: Final answer
    x = 110,180.41

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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.