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Finding the Fourth Proportional to 234,124, 322,988.16 and 137,278.42

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Solution

The fourth proportional to 234,124, 322,988.16 and 137,278.42 is: 189,383.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,124 : 322,988.16 = 137,278.42 : x
  2. Step 2: Convert to fraction form
    234,124/322,988.16 = 137,278.42/x
  3. Step 3: Cross multiply
    234,124x = 322,988.16 × 137,278.42
  4. Step 4: Simplify right side
    234,124x = 44,339,304,283.51
  5. Step 5: Solve for x
    x = 44,339,304,283.51/234,124
  6. Step 6: Final answer
    x = 189,383.85

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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.