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Finding the Fourth Proportional to 203,396.77, 305,060.46 and 53,638.53

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Solution

The fourth proportional to 203,396.77, 305,060.46 and 53,638.53 is: 80,448.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,396.77 : 305,060.46 = 53,638.53 : x
  2. Step 2: Convert to fraction form
    203,396.77/305,060.46 = 53,638.53/x
  3. Step 3: Cross multiply
    203,396.77x = 305,060.46 × 53,638.53
  4. Step 4: Simplify right side
    203,396.77x = 16,362,994,635.52
  5. Step 5: Solve for x
    x = 16,362,994,635.52/203,396.77
  6. Step 6: Final answer
    x = 80,448.65

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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.