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Finding the Fourth Proportional to 203,713.80, 305,801.10 and 120,654.60

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Solution

The fourth proportional to 203,713.80, 305,801.10 and 120,654.60 is: 181,118.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,713.80 : 305,801.10 = 120,654.60 : x
  2. Step 2: Convert to fraction form
    203,713.80/305,801.10 = 120,654.60/x
  3. Step 3: Cross multiply
    203,713.80x = 305,801.10 × 120,654.60
  4. Step 4: Simplify right side
    203,713.80x = 36,896,309,400.06
  5. Step 5: Solve for x
    x = 36,896,309,400.06/203,713.80
  6. Step 6: Final answer
    x = 181,118.36

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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.