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Finding the Fourth Proportional to 70,654.91, 105,982.97 and 20,735.82

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Solution

The fourth proportional to 70,654.91, 105,982.97 and 20,735.82 is: 31,103.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,654.91 : 105,982.97 = 20,735.82 : x
  2. Step 2: Convert to fraction form
    70,654.91/105,982.97 = 20,735.82/x
  3. Step 3: Cross multiply
    70,654.91x = 105,982.97 × 20,735.82
  4. Step 4: Simplify right side
    70,654.91x = 2,197,643,685.31
  5. Step 5: Solve for x
    x = 2,197,643,685.31/70,654.91
  6. Step 6: Final answer
    x = 31,103.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.