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Finding the Fourth Proportional to 100,019.76, 150,103.48 and 47,429.42

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Solution

The fourth proportional to 100,019.76, 150,103.48 and 47,429.42 is: 71,179.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,019.76 : 150,103.48 = 47,429.42 : x
  2. Step 2: Convert to fraction form
    100,019.76/150,103.48 = 47,429.42/x
  3. Step 3: Cross multiply
    100,019.76x = 150,103.48 × 47,429.42
  4. Step 4: Simplify right side
    100,019.76x = 7,119,320,996.38
  5. Step 5: Solve for x
    x = 7,119,320,996.38/100,019.76
  6. Step 6: Final answer
    x = 71,179.14

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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.