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Finding the Fourth Proportional to 206,769.15, 285,403.31 and 120,751.34

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Solution

The fourth proportional to 206,769.15, 285,403.31 and 120,751.34 is: 166,672.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,769.15 : 285,403.31 = 120,751.34 : x
  2. Step 2: Convert to fraction form
    206,769.15/285,403.31 = 120,751.34/x
  3. Step 3: Cross multiply
    206,769.15x = 285,403.31 × 120,751.34
  4. Step 4: Simplify right side
    206,769.15x = 34,462,830,092.16
  5. Step 5: Solve for x
    x = 34,462,830,092.16/206,769.15
  6. Step 6: Final answer
    x = 166,672.98

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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.