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Finding the Fourth Proportional to 203,902.66, 305,685.60 and 89,969.36

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Solution

The fourth proportional to 203,902.66, 305,685.60 and 89,969.36 is: 134,879.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,902.66 : 305,685.60 = 89,969.36 : x
  2. Step 2: Convert to fraction form
    203,902.66/305,685.60 = 89,969.36/x
  3. Step 3: Cross multiply
    203,902.66x = 305,685.60 × 89,969.36
  4. Step 4: Simplify right side
    203,902.66x = 27,502,337,793.22
  5. Step 5: Solve for x
    x = 27,502,337,793.22/203,902.66
  6. Step 6: Final answer
    x = 134,879.74

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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.