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Finding the Fourth Proportional to 206,120.57, 308,655.96 and 135,786.65

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Solution

The fourth proportional to 206,120.57, 308,655.96 and 135,786.65 is: 203,334.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,120.57 : 308,655.96 = 135,786.65 : x
  2. Step 2: Convert to fraction form
    206,120.57/308,655.96 = 135,786.65/x
  3. Step 3: Cross multiply
    206,120.57x = 308,655.96 × 135,786.65
  4. Step 4: Simplify right side
    206,120.57x = 41,911,358,679.71
  5. Step 5: Solve for x
    x = 41,911,358,679.71/206,120.57
  6. Step 6: Final answer
    x = 203,334.19

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.