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Finding the Fourth Proportional to 100,239, 150,241.86 and 41,002.89

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Solution

The fourth proportional to 100,239, 150,241.86 and 41,002.89 is: 61,456.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,239 : 150,241.86 = 41,002.89 : x
  2. Step 2: Convert to fraction form
    100,239/150,241.86 = 41,002.89/x
  3. Step 3: Cross multiply
    100,239x = 150,241.86 × 41,002.89
  4. Step 4: Simplify right side
    100,239x = 6,160,350,458.98
  5. Step 5: Solve for x
    x = 6,160,350,458.98/100,239
  6. Step 6: Final answer
    x = 61,456.62

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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.