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Finding the Fourth Proportional to 219,787.74, 329,667.03 and 99,816.21

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Solution

The fourth proportional to 219,787.74, 329,667.03 and 99,816.21 is: 149,717.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,787.74 : 329,667.03 = 99,816.21 : x
  2. Step 2: Convert to fraction form
    219,787.74/329,667.03 = 99,816.21/x
  3. Step 3: Cross multiply
    219,787.74x = 329,667.03 × 99,816.21
  4. Step 4: Simplify right side
    219,787.74x = 32,906,113,496.56
  5. Step 5: Solve for x
    x = 32,906,113,496.56/219,787.74
  6. Step 6: Final answer
    x = 149,717.69

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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.