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Finding the Fourth Proportional to 129,780, 194,691.06 and 50,851.44

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Solution

The fourth proportional to 129,780, 194,691.06 and 50,851.44 is: 76,285.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,780 : 194,691.06 = 50,851.44 : x
  2. Step 2: Convert to fraction form
    129,780/194,691.06 = 50,851.44/x
  3. Step 3: Cross multiply
    129,780x = 194,691.06 × 50,851.44
  4. Step 4: Simplify right side
    129,780x = 9,900,320,756.13
  5. Step 5: Solve for x
    x = 9,900,320,756.13/129,780
  6. Step 6: Final answer
    x = 76,285.41

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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.