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Finding the Fourth Proportional to 219,297.96, 302,625.18 and 123,813.54

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Solution

The fourth proportional to 219,297.96, 302,625.18 and 123,813.54 is: 170,859.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,297.96 : 302,625.18 = 123,813.54 : x
  2. Step 2: Convert to fraction form
    219,297.96/302,625.18 = 123,813.54/x
  3. Step 3: Cross multiply
    219,297.96x = 302,625.18 × 123,813.54
  4. Step 4: Simplify right side
    219,297.96x = 37,469,094,828.94
  5. Step 5: Solve for x
    x = 37,469,094,828.94/219,297.96
  6. Step 6: Final answer
    x = 170,859.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.