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Finding the Fourth Proportional to 219,502.84, 329,285.64 and 67,712.73

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Solution

The fourth proportional to 219,502.84, 329,285.64 and 67,712.73 is: 101,578.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,502.84 : 329,285.64 = 67,712.73 : x
  2. Step 2: Convert to fraction form
    219,502.84/329,285.64 = 67,712.73/x
  3. Step 3: Cross multiply
    219,502.84x = 329,285.64 × 67,712.73
  4. Step 4: Simplify right side
    219,502.84x = 22,296,831,336.43
  5. Step 5: Solve for x
    x = 22,296,831,336.43/219,502.84
  6. Step 6: Final answer
    x = 101,578.78

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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.