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Finding the Fourth Proportional to 194,147.70, 291,231.15 and 100,835.70

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Solution

The fourth proportional to 194,147.70, 291,231.15 and 100,835.70 is: 151,258.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,147.70 : 291,231.15 = 100,835.70 : x
  2. Step 2: Convert to fraction form
    194,147.70/291,231.15 = 100,835.70/x
  3. Step 3: Cross multiply
    194,147.70x = 291,231.15 × 100,835.70
  4. Step 4: Simplify right side
    194,147.70x = 29,366,496,872.06
  5. Step 5: Solve for x
    x = 29,366,496,872.06/194,147.70
  6. Step 6: Final answer
    x = 151,258.54

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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.