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Finding the Fourth Proportional to 206,543.36, 285,029.04 and 115,899.11

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Solution

The fourth proportional to 206,543.36, 285,029.04 and 115,899.11 is: 159,940.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,543.36 : 285,029.04 = 115,899.11 : x
  2. Step 2: Convert to fraction form
    206,543.36/285,029.04 = 115,899.11/x
  3. Step 3: Cross multiply
    206,543.36x = 285,029.04 × 115,899.11
  4. Step 4: Simplify right side
    206,543.36x = 33,034,610,635.01
  5. Step 5: Solve for x
    x = 33,034,610,635.01/206,543.36
  6. Step 6: Final answer
    x = 159,940.32

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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.