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Finding the Fourth Proportional to 129,859.30, 194,797.59 and 45,609.22

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Solution

The fourth proportional to 129,859.30, 194,797.59 and 45,609.22 is: 68,416.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,859.30 : 194,797.59 = 45,609.22 : x
  2. Step 2: Convert to fraction form
    129,859.30/194,797.59 = 45,609.22/x
  3. Step 3: Cross multiply
    129,859.30x = 194,797.59 × 45,609.22
  4. Step 4: Simplify right side
    129,859.30x = 8,884,566,137.78
  5. Step 5: Solve for x
    x = 8,884,566,137.78/129,859.30
  6. Step 6: Final answer
    x = 68,416.86

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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.