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Finding the Fourth Proportional to 119,333.78, 178,991.24 and 69,382

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Solution

The fourth proportional to 119,333.78, 178,991.24 and 69,382 is: 104,067.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,333.78 : 178,991.24 = 69,382 : x
  2. Step 2: Convert to fraction form
    119,333.78/178,991.24 = 69,382/x
  3. Step 3: Cross multiply
    119,333.78x = 178,991.24 × 69,382
  4. Step 4: Simplify right side
    119,333.78x = 12,418,770,213.68
  5. Step 5: Solve for x
    x = 12,418,770,213.68/119,333.78
  6. Step 6: Final answer
    x = 104,067.52

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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.