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Finding the Fourth Proportional to 205,734.60, 308,103.52 and 142,377.16

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Solution

The fourth proportional to 205,734.60, 308,103.52 and 142,377.16 is: 213,220.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,734.60 : 308,103.52 = 142,377.16 : x
  2. Step 2: Convert to fraction form
    205,734.60/308,103.52 = 142,377.16/x
  3. Step 3: Cross multiply
    205,734.60x = 308,103.52 × 142,377.16
  4. Step 4: Simplify right side
    205,734.60x = 43,866,904,163.60
  5. Step 5: Solve for x
    x = 43,866,904,163.60/205,734.60
  6. Step 6: Final answer
    x = 213,220.84

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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.