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Finding the Fourth Proportional to 150,311.88, 225,471.96 and 45,130.86

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Solution

The fourth proportional to 150,311.88, 225,471.96 and 45,130.86 is: 67,697.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,311.88 : 225,471.96 = 45,130.86 : x
  2. Step 2: Convert to fraction form
    150,311.88/225,471.96 = 45,130.86/x
  3. Step 3: Cross multiply
    150,311.88x = 225,471.96 × 45,130.86
  4. Step 4: Simplify right side
    150,311.88x = 10,175,743,460.69
  5. Step 5: Solve for x
    x = 10,175,743,460.69/150,311.88
  6. Step 6: Final answer
    x = 67,697.53

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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.