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Finding the Fourth Proportional to 203,543.42, 305,099.51 and 68,478.87

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Solution

The fourth proportional to 203,543.42, 305,099.51 and 68,478.87 is: 102,645.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,543.42 : 305,099.51 = 68,478.87 : x
  2. Step 2: Convert to fraction form
    203,543.42/305,099.51 = 68,478.87/x
  3. Step 3: Cross multiply
    203,543.42x = 305,099.51 × 68,478.87
  4. Step 4: Simplify right side
    203,543.42x = 20,892,869,682.35
  5. Step 5: Solve for x
    x = 20,892,869,682.35/203,543.42
  6. Step 6: Final answer
    x = 102,645.76

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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.