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Finding the Fourth Proportional to 203,518.62, 305,292.51 and 53,757.42

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Solution

The fourth proportional to 203,518.62, 305,292.51 and 53,757.42 is: 80,639.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,518.62 : 305,292.51 = 53,757.42 : x
  2. Step 2: Convert to fraction form
    203,518.62/305,292.51 = 53,757.42/x
  3. Step 3: Cross multiply
    203,518.62x = 305,292.51 × 53,757.42
  4. Step 4: Simplify right side
    203,518.62x = 16,411,737,682.92
  5. Step 5: Solve for x
    x = 16,411,737,682.92/203,518.62
  6. Step 6: Final answer
    x = 80,639.98

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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.