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Finding the Fourth Proportional to 129,909.87, 194,872.37 and 36,422.91

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Solution

The fourth proportional to 129,909.87, 194,872.37 and 36,422.91 is: 54,636.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,909.87 : 194,872.37 = 36,422.91 : x
  2. Step 2: Convert to fraction form
    129,909.87/194,872.37 = 36,422.91/x
  3. Step 3: Cross multiply
    129,909.87x = 194,872.37 × 36,422.91
  4. Step 4: Simplify right side
    129,909.87x = 7,097,818,611.88
  5. Step 5: Solve for x
    x = 7,097,818,611.88/129,909.87
  6. Step 6: Final answer
    x = 54,636.48

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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.