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Finding the Fourth Proportional to 204,473.80, 307,157.82 and 145,687.24

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Solution

The fourth proportional to 204,473.80, 307,157.82 and 145,687.24 is: 218,849.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,473.80 : 307,157.82 = 145,687.24 : x
  2. Step 2: Convert to fraction form
    204,473.80/307,157.82 = 145,687.24/x
  3. Step 3: Cross multiply
    204,473.80x = 307,157.82 × 145,687.24
  4. Step 4: Simplify right side
    204,473.80x = 44,748,975,040.22
  5. Step 5: Solve for x
    x = 44,748,975,040.22/204,473.80
  6. Step 6: Final answer
    x = 218,849.43

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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.