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Finding the Fourth Proportional to 100,306.92, 150,443.10 and 30,167.40

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Solution

The fourth proportional to 100,306.92, 150,443.10 and 30,167.40 is: 45,245.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,306.92 : 150,443.10 = 30,167.40 : x
  2. Step 2: Convert to fraction form
    100,306.92/150,443.10 = 30,167.40/x
  3. Step 3: Cross multiply
    100,306.92x = 150,443.10 × 30,167.40
  4. Step 4: Simplify right side
    100,306.92x = 4,538,477,174.94
  5. Step 5: Solve for x
    x = 4,538,477,174.94/100,306.92
  6. Step 6: Final answer
    x = 45,245.90

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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.