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Finding the Fourth Proportional to 203,411.82, 305,138.23 and 53,662.46

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Solution

The fourth proportional to 203,411.82, 305,138.23 and 53,662.46 is: 80,499.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,411.82 : 305,138.23 = 53,662.46 : x
  2. Step 2: Convert to fraction form
    203,411.82/305,138.23 = 53,662.46/x
  3. Step 3: Cross multiply
    203,411.82x = 305,138.23 × 53,662.46
  4. Step 4: Simplify right side
    203,411.82x = 16,374,468,061.85
  5. Step 5: Solve for x
    x = 16,374,468,061.85/203,411.82
  6. Step 6: Final answer
    x = 80,499.10

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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.