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Finding the Fourth Proportional to 289,691.64, 434,518.83 and 100,146.78

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Solution

The fourth proportional to 289,691.64, 434,518.83 and 100,146.78 is: 150,213.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,691.64 : 434,518.83 = 100,146.78 : x
  2. Step 2: Convert to fraction form
    289,691.64/434,518.83 = 100,146.78/x
  3. Step 3: Cross multiply
    289,691.64x = 434,518.83 × 100,146.78
  4. Step 4: Simplify right side
    289,691.64x = 43,515,661,673.87
  5. Step 5: Solve for x
    x = 43,515,661,673.87/289,691.64
  6. Step 6: Final answer
    x = 150,213.73

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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.