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Finding the Fourth Proportional to 243,953.80, 365,743.11 and 123,912.12

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Solution

The fourth proportional to 243,953.80, 365,743.11 and 123,912.12 is: 185,772.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,953.80 : 365,743.11 = 123,912.12 : x
  2. Step 2: Convert to fraction form
    243,953.80/365,743.11 = 123,912.12/x
  3. Step 3: Cross multiply
    243,953.80x = 365,743.11 × 123,912.12
  4. Step 4: Simplify right side
    243,953.80x = 45,320,002,306.78
  5. Step 5: Solve for x
    x = 45,320,002,306.78/243,953.80
  6. Step 6: Final answer
    x = 185,772.89

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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.