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Finding the Fourth Proportional to 206,964, 285,610.68 and 117,540

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Solution

The fourth proportional to 206,964, 285,610.68 and 117,540 is: 162,205.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,964 : 285,610.68 = 117,540 : x
  2. Step 2: Convert to fraction form
    206,964/285,610.68 = 117,540/x
  3. Step 3: Cross multiply
    206,964x = 285,610.68 × 117,540
  4. Step 4: Simplify right side
    206,964x = 33,570,679,327.20
  5. Step 5: Solve for x
    x = 33,570,679,327.20/206,964
  6. Step 6: Final answer
    x = 162,205.40

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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.