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Finding the Fourth Proportional to 203,409.93, 305,080.05 and 53,651.69

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Solution

The fourth proportional to 203,409.93, 305,080.05 and 53,651.69 is: 80,468.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,409.93 : 305,080.05 = 53,651.69 : x
  2. Step 2: Convert to fraction form
    203,409.93/305,080.05 = 53,651.69/x
  3. Step 3: Cross multiply
    203,409.93x = 305,080.05 × 53,651.69
  4. Step 4: Simplify right side
    203,409.93x = 16,368,060,492.98
  5. Step 5: Solve for x
    x = 16,368,060,492.98/203,409.93
  6. Step 6: Final answer
    x = 80,468.34

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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.