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Finding the Fourth Proportional to 123,217.20, 184,912.20 and 53,146.80

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Solution

The fourth proportional to 123,217.20, 184,912.20 and 53,146.80 is: 79,757.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,217.20 : 184,912.20 = 53,146.80 : x
  2. Step 2: Convert to fraction form
    123,217.20/184,912.20 = 53,146.80/x
  3. Step 3: Cross multiply
    123,217.20x = 184,912.20 × 53,146.80
  4. Step 4: Simplify right side
    123,217.20x = 9,827,491,710.96
  5. Step 5: Solve for x
    x = 9,827,491,710.96/123,217.20
  6. Step 6: Final answer
    x = 79,757.47

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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.