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Finding the Fourth Proportional to 206,308.05, 284,704.88 and 115,664.04

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Solution

The fourth proportional to 206,308.05, 284,704.88 and 115,664.04 is: 159,616.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,308.05 : 284,704.88 = 115,664.04 : x
  2. Step 2: Convert to fraction form
    206,308.05/284,704.88 = 115,664.04/x
  3. Step 3: Cross multiply
    206,308.05x = 284,704.88 × 115,664.04
  4. Step 4: Simplify right side
    206,308.05x = 32,930,116,050.20
  5. Step 5: Solve for x
    x = 32,930,116,050.20/206,308.05
  6. Step 6: Final answer
    x = 159,616.24

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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.