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Finding the Fourth Proportional to 129,419.84, 194,053.22 and 50,441.88

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Solution

The fourth proportional to 129,419.84, 194,053.22 and 50,441.88 is: 75,632.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,419.84 : 194,053.22 = 50,441.88 : x
  2. Step 2: Convert to fraction form
    129,419.84/194,053.22 = 50,441.88/x
  3. Step 3: Cross multiply
    129,419.84x = 194,053.22 × 50,441.88
  4. Step 4: Simplify right side
    129,419.84x = 9,788,409,236.85
  5. Step 5: Solve for x
    x = 9,788,409,236.85/129,419.84
  6. Step 6: Final answer
    x = 75,632.99

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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.