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Finding the Fourth Proportional to 308,092, 462,138 and 111,100

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Solution

The fourth proportional to 308,092, 462,138 and 111,100 is: 166,650

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,092 : 462,138 = 111,100 : x
  2. Step 2: Convert to fraction form
    308,092/462,138 = 111,100/x
  3. Step 3: Cross multiply
    308,092x = 462,138 × 111,100
  4. Step 4: Simplify right side
    308,092x = 51,343,531,800
  5. Step 5: Solve for x
    x = 51,343,531,800/308,092
  6. Step 6: Final answer
    x = 166,650

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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.