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Finding the Fourth Proportional to 194,751, 268,756.38 and 138,260.79

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Solution

The fourth proportional to 194,751, 268,756.38 and 138,260.79 is: 190,799.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,751 : 268,756.38 = 138,260.79 : x
  2. Step 2: Convert to fraction form
    194,751/268,756.38 = 138,260.79/x
  3. Step 3: Cross multiply
    194,751x = 268,756.38 × 138,260.79
  4. Step 4: Simplify right side
    194,751x = 37,158,469,416.34
  5. Step 5: Solve for x
    x = 37,158,469,416.34/194,751
  6. Step 6: Final answer
    x = 190,799.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.