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Finding the Fourth Proportional to 255,756, 352,955.40 and 142,578.72

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Solution

The fourth proportional to 255,756, 352,955.40 and 142,578.72 is: 196,765.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,756 : 352,955.40 = 142,578.72 : x
  2. Step 2: Convert to fraction form
    255,756/352,955.40 = 142,578.72/x
  3. Step 3: Cross multiply
    255,756x = 352,955.40 × 142,578.72
  4. Step 4: Simplify right side
    255,756x = 50,323,929,149.09
  5. Step 5: Solve for x
    x = 50,323,929,149.09/255,756
  6. Step 6: Final answer
    x = 196,765.39

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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.