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Finding the Fourth Proportional to 203,614.74, 305,512.83 and 78,965.46

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Solution

The fourth proportional to 203,614.74, 305,512.83 and 78,965.46 is: 118,483.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,614.74 : 305,512.83 = 78,965.46 : x
  2. Step 2: Convert to fraction form
    203,614.74/305,512.83 = 78,965.46/x
  3. Step 3: Cross multiply
    203,614.74x = 305,512.83 × 78,965.46
  4. Step 4: Simplify right side
    203,614.74x = 24,124,961,156.85
  5. Step 5: Solve for x
    x = 24,124,961,156.85/203,614.74
  6. Step 6: Final answer
    x = 118,483.37

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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.