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Finding the Fourth Proportional to 255,342, 383,012.72 and 114,936.56

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Solution

The fourth proportional to 255,342, 383,012.72 and 114,936.56 is: 172,404.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,342 : 383,012.72 = 114,936.56 : x
  2. Step 2: Convert to fraction form
    255,342/383,012.72 = 114,936.56/x
  3. Step 3: Cross multiply
    255,342x = 383,012.72 × 114,936.56
  4. Step 4: Simplify right side
    255,342x = 44,022,164,473.04
  5. Step 5: Solve for x
    x = 44,022,164,473.04/255,342
  6. Step 6: Final answer
    x = 172,404.71

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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.