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Finding the Fourth Proportional to 206,952.77, 285,672.86 and 120,939.77

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Solution

The fourth proportional to 206,952.77, 285,672.86 and 120,939.77 is: 166,942.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,952.77 : 285,672.86 = 120,939.77 : x
  2. Step 2: Convert to fraction form
    206,952.77/285,672.86 = 120,939.77/x
  3. Step 3: Cross multiply
    206,952.77x = 285,672.86 × 120,939.77
  4. Step 4: Simplify right side
    206,952.77x = 34,549,208,857.63
  5. Step 5: Solve for x
    x = 34,549,208,857.63/206,952.77
  6. Step 6: Final answer
    x = 166,942.48

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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.