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Finding the Fourth Proportional to 255,344, 352,377.15 and 142,169.18

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Solution

The fourth proportional to 255,344, 352,377.15 and 142,169.18 is: 196,194.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,344 : 352,377.15 = 142,169.18 : x
  2. Step 2: Convert to fraction form
    255,344/352,377.15 = 142,169.18/x
  3. Step 3: Cross multiply
    255,344x = 352,377.15 × 142,169.18
  4. Step 4: Simplify right side
    255,344x = 50,097,170,466.24
  5. Step 5: Solve for x
    x = 50,097,170,466.24/255,344
  6. Step 6: Final answer
    x = 196,194.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.