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Finding the Fourth Proportional to 206,913, 285,540.24 and 117,489

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Solution

The fourth proportional to 206,913, 285,540.24 and 117,489 is: 162,134.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,913 : 285,540.24 = 117,489 : x
  2. Step 2: Convert to fraction form
    206,913/285,540.24 = 117,489/x
  3. Step 3: Cross multiply
    206,913x = 285,540.24 × 117,489
  4. Step 4: Simplify right side
    206,913x = 33,547,837,257.36
  5. Step 5: Solve for x
    x = 33,547,837,257.36/206,913
  6. Step 6: Final answer
    x = 162,134.99

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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.