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Finding the Fourth Proportional to 206,179.62, 284,142.59 and 160,785.71

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Solution

The fourth proportional to 206,179.62, 284,142.59 and 160,785.71 is: 221,583.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,179.62 : 284,142.59 = 160,785.71 : x
  2. Step 2: Convert to fraction form
    206,179.62/284,142.59 = 160,785.71/x
  3. Step 3: Cross multiply
    206,179.62x = 284,142.59 × 160,785.71
  4. Step 4: Simplify right side
    206,179.62x = 45,686,065,849.75
  5. Step 5: Solve for x
    x = 45,686,065,849.75/206,179.62
  6. Step 6: Final answer
    x = 221,583.81

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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.