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Finding the Fourth Proportional to 206,432.34, 284,809.34 and 120,371.85

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Solution

The fourth proportional to 206,432.34, 284,809.34 and 120,371.85 is: 166,073.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,432.34 : 284,809.34 = 120,371.85 : x
  2. Step 2: Convert to fraction form
    206,432.34/284,809.34 = 120,371.85/x
  3. Step 3: Cross multiply
    206,432.34x = 284,809.34 × 120,371.85
  4. Step 4: Simplify right side
    206,432.34x = 34,283,026,551.22
  5. Step 5: Solve for x
    x = 34,283,026,551.22/206,432.34
  6. Step 6: Final answer
    x = 166,073.91

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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.