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Finding the Fourth Proportional to 271,951.91, 407,812.53 and 129,632.57

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Solution

The fourth proportional to 271,951.91, 407,812.53 and 129,632.57 is: 194,393.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,951.91 : 407,812.53 = 129,632.57 : x
  2. Step 2: Convert to fraction form
    271,951.91/407,812.53 = 129,632.57/x
  3. Step 3: Cross multiply
    271,951.91x = 407,812.53 × 129,632.57
  4. Step 4: Simplify right side
    271,951.91x = 52,865,786,342.10
  5. Step 5: Solve for x
    x = 52,865,786,342.10/271,951.91
  6. Step 6: Final answer
    x = 194,393.88

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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.