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Finding the Fourth Proportional to 123,642.40, 185,512.20 and 48,749.80

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Solution

The fourth proportional to 123,642.40, 185,512.20 and 48,749.80 is: 73,143.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,642.40 : 185,512.20 = 48,749.80 : x
  2. Step 2: Convert to fraction form
    123,642.40/185,512.20 = 48,749.80/x
  3. Step 3: Cross multiply
    123,642.40x = 185,512.20 × 48,749.80
  4. Step 4: Simplify right side
    123,642.40x = 9,043,682,647.56
  5. Step 5: Solve for x
    x = 9,043,682,647.56/123,642.40
  6. Step 6: Final answer
    x = 73,143.86

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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.