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Finding the Fourth Proportional to 234,048, 322,991.10 and 138,519.84

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Solution

The fourth proportional to 234,048, 322,991.10 and 138,519.84 is: 191,160.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,048 : 322,991.10 = 138,519.84 : x
  2. Step 2: Convert to fraction form
    234,048/322,991.10 = 138,519.84/x
  3. Step 3: Cross multiply
    234,048x = 322,991.10 × 138,519.84
  4. Step 4: Simplify right side
    234,048x = 44,740,675,493.42
  5. Step 5: Solve for x
    x = 44,740,675,493.42/234,048
  6. Step 6: Final answer
    x = 191,160.26

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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.