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Finding the Fourth Proportional to 203,434.75, 305,152.17 and 78,775.75

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Solution

The fourth proportional to 203,434.75, 305,152.17 and 78,775.75 is: 118,163.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,434.75 : 305,152.17 = 78,775.75 : x
  2. Step 2: Convert to fraction form
    203,434.75/305,152.17 = 78,775.75/x
  3. Step 3: Cross multiply
    203,434.75x = 305,152.17 × 78,775.75
  4. Step 4: Simplify right side
    203,434.75x = 24,038,591,055.88
  5. Step 5: Solve for x
    x = 24,038,591,055.88/203,434.75
  6. Step 6: Final answer
    x = 118,163.64

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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.