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Finding the Fourth Proportional to 218,138.13, 326,873.21 and 146,796.30

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Solution

The fourth proportional to 218,138.13, 326,873.21 and 146,796.30 is: 219,969.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,138.13 : 326,873.21 = 146,796.30 : x
  2. Step 2: Convert to fraction form
    218,138.13/326,873.21 = 146,796.30/x
  3. Step 3: Cross multiply
    218,138.13x = 326,873.21 × 146,796.30
  4. Step 4: Simplify right side
    218,138.13x = 47,983,777,063.14
  5. Step 5: Solve for x
    x = 47,983,777,063.14/218,138.13
  6. Step 6: Final answer
    x = 219,969.69

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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.