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Finding the Fourth Proportional to 100,791.42, 151,143.45 and 30,654.54

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Solution

The fourth proportional to 100,791.42, 151,143.45 and 30,654.54 is: 45,968.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,791.42 : 151,143.45 = 30,654.54 : x
  2. Step 2: Convert to fraction form
    100,791.42/151,143.45 = 30,654.54/x
  3. Step 3: Cross multiply
    100,791.42x = 151,143.45 × 30,654.54
  4. Step 4: Simplify right side
    100,791.42x = 4,633,232,933.76
  5. Step 5: Solve for x
    x = 4,633,232,933.76/100,791.42
  6. Step 6: Final answer
    x = 45,968.53

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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.