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Finding the Fourth Proportional to 219,790.74, 329,671.53 and 99,819.21

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Solution

The fourth proportional to 219,790.74, 329,671.53 and 99,819.21 is: 149,722.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,790.74 : 329,671.53 = 99,819.21 : x
  2. Step 2: Convert to fraction form
    219,790.74/329,671.53 = 99,819.21/x
  3. Step 3: Cross multiply
    219,790.74x = 329,671.53 × 99,819.21
  4. Step 4: Simplify right side
    219,790.74x = 32,907,551,684.09
  5. Step 5: Solve for x
    x = 32,907,551,684.09/219,790.74
  6. Step 6: Final answer
    x = 149,722.19

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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.