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Finding the Fourth Proportional to 123,993.90, 185,991.39 and 30,499.38

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Solution

The fourth proportional to 123,993.90, 185,991.39 and 30,499.38 is: 45,749.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,993.90 : 185,991.39 = 30,499.38 : x
  2. Step 2: Convert to fraction form
    123,993.90/185,991.39 = 30,499.38/x
  3. Step 3: Cross multiply
    123,993.90x = 185,991.39 × 30,499.38
  4. Step 4: Simplify right side
    123,993.90x = 5,672,622,080.34
  5. Step 5: Solve for x
    x = 5,672,622,080.34/123,993.90
  6. Step 6: Final answer
    x = 45,749.20

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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.