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Finding the Fourth Proportional to 213,265.31, 319,739.81 and 100,814.09

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Solution

The fourth proportional to 213,265.31, 319,739.81 and 100,814.09 is: 151,146.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,265.31 : 319,739.81 = 100,814.09 : x
  2. Step 2: Convert to fraction form
    213,265.31/319,739.81 = 100,814.09/x
  3. Step 3: Cross multiply
    213,265.31x = 319,739.81 × 100,814.09
  4. Step 4: Simplify right side
    213,265.31x = 32,234,278,576.96
  5. Step 5: Solve for x
    x = 32,234,278,576.96/213,265.31
  6. Step 6: Final answer
    x = 151,146.38

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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.