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Finding the Fourth Proportional to 129,295.78, 193,905.78 and 50,391.16

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Solution

The fourth proportional to 129,295.78, 193,905.78 and 50,391.16 is: 75,571.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,295.78 : 193,905.78 = 50,391.16 : x
  2. Step 2: Convert to fraction form
    129,295.78/193,905.78 = 50,391.16/x
  3. Step 3: Cross multiply
    129,295.78x = 193,905.78 × 50,391.16
  4. Step 4: Simplify right side
    129,295.78x = 9,771,137,184.90
  5. Step 5: Solve for x
    x = 9,771,137,184.90/129,295.78
  6. Step 6: Final answer
    x = 75,571.97

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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.