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Finding the Fourth Proportional to 100,402.62, 150,605.01 and 30,282.54

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Solution

The fourth proportional to 100,402.62, 150,605.01 and 30,282.54 is: 45,424.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,402.62 : 150,605.01 = 30,282.54 : x
  2. Step 2: Convert to fraction form
    100,402.62/150,605.01 = 30,282.54/x
  3. Step 3: Cross multiply
    100,402.62x = 150,605.01 × 30,282.54
  4. Step 4: Simplify right side
    100,402.62x = 4,560,702,239.53
  5. Step 5: Solve for x
    x = 4,560,702,239.53/100,402.62
  6. Step 6: Final answer
    x = 45,424.14

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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.