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Finding the Fourth Proportional to 129,906.94, 194,838.45 and 36,391.18

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Solution

The fourth proportional to 129,906.94, 194,838.45 and 36,391.18 is: 54,580.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,906.94 : 194,838.45 = 36,391.18 : x
  2. Step 2: Convert to fraction form
    129,906.94/194,838.45 = 36,391.18/x
  3. Step 3: Cross multiply
    129,906.94x = 194,838.45 × 36,391.18
  4. Step 4: Simplify right side
    129,906.94x = 7,090,401,104.87
  5. Step 5: Solve for x
    x = 7,090,401,104.87/129,906.94
  6. Step 6: Final answer
    x = 54,580.62

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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.