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Finding the Fourth Proportional to 206,624.34, 285,145.80 and 115,986.84

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Solution

The fourth proportional to 206,624.34, 285,145.80 and 115,986.84 is: 160,064.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,624.34 : 285,145.80 = 115,986.84 : x
  2. Step 2: Convert to fraction form
    206,624.34/285,145.80 = 115,986.84/x
  3. Step 3: Cross multiply
    206,624.34x = 285,145.80 × 115,986.84
  4. Step 4: Simplify right side
    206,624.34x = 33,073,160,281.27
  5. Step 5: Solve for x
    x = 33,073,160,281.27/206,624.34
  6. Step 6: Final answer
    x = 160,064.20

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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.