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Finding the Fourth Proportional to 123,735.66, 185,473.46 and 78,791.54

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Solution

The fourth proportional to 123,735.66, 185,473.46 and 78,791.54 is: 118,104.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,735.66 : 185,473.46 = 78,791.54 : x
  2. Step 2: Convert to fraction form
    123,735.66/185,473.46 = 78,791.54/x
  3. Step 3: Cross multiply
    123,735.66x = 185,473.46 × 78,791.54
  4. Step 4: Simplify right side
    123,735.66x = 14,613,739,542.53
  5. Step 5: Solve for x
    x = 14,613,739,542.53/123,735.66
  6. Step 6: Final answer
    x = 118,104.51

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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.