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Finding the Fourth Proportional to 205,976.40, 308,964.60 and 142,990.80

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Solution

The fourth proportional to 205,976.40, 308,964.60 and 142,990.80 is: 214,486.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,976.40 : 308,964.60 = 142,990.80 : x
  2. Step 2: Convert to fraction form
    205,976.40/308,964.60 = 142,990.80/x
  3. Step 3: Cross multiply
    205,976.40x = 308,964.60 × 142,990.80
  4. Step 4: Simplify right side
    205,976.40x = 44,179,095,325.68
  5. Step 5: Solve for x
    x = 44,179,095,325.68/205,976.40
  6. Step 6: Final answer
    x = 214,486.20

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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.