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Finding the Fourth Proportional to 145,144, 217,511.82 and 115,429.96

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Solution

The fourth proportional to 145,144, 217,511.82 and 115,429.96 is: 172,982.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,144 : 217,511.82 = 115,429.96 : x
  2. Step 2: Convert to fraction form
    145,144/217,511.82 = 115,429.96/x
  3. Step 3: Cross multiply
    145,144x = 217,511.82 × 115,429.96
  4. Step 4: Simplify right side
    145,144x = 25,107,380,682.13
  5. Step 5: Solve for x
    x = 25,107,380,682.13/145,144
  6. Step 6: Final answer
    x = 172,982.56

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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.