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Finding the Fourth Proportional to 101,493.11, 152,198.05 and 30,390.70

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Solution

The fourth proportional to 101,493.11, 152,198.05 and 30,390.70 is: 45,573.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,493.11 : 152,198.05 = 30,390.70 : x
  2. Step 2: Convert to fraction form
    101,493.11/152,198.05 = 30,390.70/x
  3. Step 3: Cross multiply
    101,493.11x = 152,198.05 × 30,390.70
  4. Step 4: Simplify right side
    101,493.11x = 4,625,405,278.14
  5. Step 5: Solve for x
    x = 4,625,405,278.14/101,493.11
  6. Step 6: Final answer
    x = 45,573.59

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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.