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Finding the Fourth Proportional to 219,568.53, 329,098.65 and 100,991.01

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Solution

The fourth proportional to 219,568.53, 329,098.65 and 100,991.01 is: 151,369.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,568.53 : 329,098.65 = 100,991.01 : x
  2. Step 2: Convert to fraction form
    219,568.53/329,098.65 = 100,991.01/x
  3. Step 3: Cross multiply
    219,568.53x = 329,098.65 × 100,991.01
  4. Step 4: Simplify right side
    219,568.53x = 33,236,003,819.02
  5. Step 5: Solve for x
    x = 33,236,003,819.02/219,568.53
  6. Step 6: Final answer
    x = 151,369.62

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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.