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Finding the Fourth Proportional to 255,344.50, 352,377.84 and 142,169.68

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Solution

The fourth proportional to 255,344.50, 352,377.84 and 142,169.68 is: 196,195.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,344.50 : 352,377.84 = 142,169.68 : x
  2. Step 2: Convert to fraction form
    255,344.50/352,377.84 = 142,169.68/x
  3. Step 3: Cross multiply
    255,344.50x = 352,377.84 × 142,169.68
  4. Step 4: Simplify right side
    255,344.50x = 50,097,444,751.89
  5. Step 5: Solve for x
    x = 50,097,444,751.89/255,344.50
  6. Step 6: Final answer
    x = 196,195.51

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1.5x scale

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.