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Finding the Fourth Proportional to 215,891.31, 323,677.01 and 103,464.48

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Solution

The fourth proportional to 215,891.31, 323,677.01 and 103,464.48 is: 155,120.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,891.31 : 323,677.01 = 103,464.48 : x
  2. Step 2: Convert to fraction form
    215,891.31/323,677.01 = 103,464.48/x
  3. Step 3: Cross multiply
    215,891.31x = 323,677.01 × 103,464.48
  4. Step 4: Simplify right side
    215,891.31x = 33,489,073,786.27
  5. Step 5: Solve for x
    x = 33,489,073,786.27/215,891.31
  6. Step 6: Final answer
    x = 155,120.06

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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.