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Finding the Fourth Proportional to 275,392.05, 412,842.06 and 133,157.76

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Solution

The fourth proportional to 275,392.05, 412,842.06 and 133,157.76 is: 199,617.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,392.05 : 412,842.06 = 133,157.76 : x
  2. Step 2: Convert to fraction form
    275,392.05/412,842.06 = 133,157.76/x
  3. Step 3: Cross multiply
    275,392.05x = 412,842.06 × 133,157.76
  4. Step 4: Simplify right side
    275,392.05x = 54,973,123,943.39
  5. Step 5: Solve for x
    x = 54,973,123,943.39/275,392.05
  6. Step 6: Final answer
    x = 199,617.69

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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.