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Finding the Fourth Proportional to 129,683.88, 194,542.82 and 50,787.86

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Solution

The fourth proportional to 129,683.88, 194,542.82 and 50,787.86 is: 76,188.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,683.88 : 194,542.82 = 50,787.86 : x
  2. Step 2: Convert to fraction form
    129,683.88/194,542.82 = 50,787.86/x
  3. Step 3: Cross multiply
    129,683.88x = 194,542.82 × 50,787.86
  4. Step 4: Simplify right side
    129,683.88x = 9,880,412,279.51
  5. Step 5: Solve for x
    x = 9,880,412,279.51/129,683.88
  6. Step 6: Final answer
    x = 76,188.44

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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.