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Finding the Fourth Proportional to 129,535.88, 194,310.76 and 40,796.30

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Solution

The fourth proportional to 129,535.88, 194,310.76 and 40,796.30 is: 61,196.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,535.88 : 194,310.76 = 40,796.30 : x
  2. Step 2: Convert to fraction form
    129,535.88/194,310.76 = 40,796.30/x
  3. Step 3: Cross multiply
    129,535.88x = 194,310.76 × 40,796.30
  4. Step 4: Simplify right side
    129,535.88x = 7,927,158,882.65
  5. Step 5: Solve for x
    x = 7,927,158,882.65/129,535.88
  6. Step 6: Final answer
    x = 61,196.63

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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.