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Finding the Fourth Proportional to 271,309.32, 407,022.30 and 91,412.63

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Solution

The fourth proportional to 271,309.32, 407,022.30 and 91,412.63 is: 137,138.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,309.32 : 407,022.30 = 91,412.63 : x
  2. Step 2: Convert to fraction form
    271,309.32/407,022.30 = 91,412.63/x
  3. Step 3: Cross multiply
    271,309.32x = 407,022.30 × 91,412.63
  4. Step 4: Simplify right side
    271,309.32x = 37,206,976,876.54
  5. Step 5: Solve for x
    x = 37,206,976,876.54/271,309.32
  6. Step 6: Final answer
    x = 137,138.59

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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.