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Finding the Fourth Proportional to 206,630.80, 285,150.17 and 115,986.84

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Solution

The fourth proportional to 206,630.80, 285,150.17 and 115,986.84 is: 160,061.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,630.80 : 285,150.17 = 115,986.84 : x
  2. Step 2: Convert to fraction form
    206,630.80/285,150.17 = 115,986.84/x
  3. Step 3: Cross multiply
    206,630.80x = 285,150.17 × 115,986.84
  4. Step 4: Simplify right side
    206,630.80x = 33,073,666,364.42
  5. Step 5: Solve for x
    x = 33,073,666,364.42/206,630.80
  6. Step 6: Final answer
    x = 160,061.65

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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.