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Finding the Fourth Proportional to 143,380.80, 215,382.24 and 138,132

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Solution

The fourth proportional to 143,380.80, 215,382.24 and 138,132 is: 207,497.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,380.80 : 215,382.24 = 138,132 : x
  2. Step 2: Convert to fraction form
    143,380.80/215,382.24 = 138,132/x
  3. Step 3: Cross multiply
    143,380.80x = 215,382.24 × 138,132
  4. Step 4: Simplify right side
    143,380.80x = 29,751,179,575.68
  5. Step 5: Solve for x
    x = 29,751,179,575.68/143,380.80
  6. Step 6: Final answer
    x = 207,497.65

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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.