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Finding the Fourth Proportional to 206,560.94, 285,016.23 and 138,676.46

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Solution

The fourth proportional to 206,560.94, 285,016.23 and 138,676.46 is: 191,348.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,560.94 : 285,016.23 = 138,676.46 : x
  2. Step 2: Convert to fraction form
    206,560.94/285,016.23 = 138,676.46/x
  3. Step 3: Cross multiply
    206,560.94x = 285,016.23 × 138,676.46
  4. Step 4: Simplify right side
    206,560.94x = 39,525,040,393.86
  5. Step 5: Solve for x
    x = 39,525,040,393.86/206,560.94
  6. Step 6: Final answer
    x = 191,348.09

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1.5x scale

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.