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Finding the Fourth Proportional to 146,354.85, 219,269.84 and 138,481.65

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Solution

The fourth proportional to 146,354.85, 219,269.84 and 138,481.65 is: 207,474.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,354.85 : 219,269.84 = 138,481.65 : x
  2. Step 2: Convert to fraction form
    146,354.85/219,269.84 = 138,481.65/x
  3. Step 3: Cross multiply
    146,354.85x = 219,269.84 × 138,481.65
  4. Step 4: Simplify right side
    146,354.85x = 30,364,848,546.03
  5. Step 5: Solve for x
    x = 30,364,848,546.03/146,354.85
  6. Step 6: Final answer
    x = 207,474.15

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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.