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Finding the Fourth Proportional to 206,116.76, 308,772.56 and 142,063.44

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Solution

The fourth proportional to 206,116.76, 308,772.56 and 142,063.44 is: 212,817.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,116.76 : 308,772.56 = 142,063.44 : x
  2. Step 2: Convert to fraction form
    206,116.76/308,772.56 = 142,063.44/x
  3. Step 3: Cross multiply
    206,116.76x = 308,772.56 × 142,063.44
  4. Step 4: Simplify right side
    206,116.76x = 43,865,292,051.21
  5. Step 5: Solve for x
    x = 43,865,292,051.21/206,116.76
  6. Step 6: Final answer
    x = 212,817.69

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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.