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Finding the Fourth Proportional to 82,136.04, 123,202.98 and 19,806

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Solution

The fourth proportional to 82,136.04, 123,202.98 and 19,806 is: 29,708.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,136.04 : 123,202.98 = 19,806 : x
  2. Step 2: Convert to fraction form
    82,136.04/123,202.98 = 19,806/x
  3. Step 3: Cross multiply
    82,136.04x = 123,202.98 × 19,806
  4. Step 4: Simplify right side
    82,136.04x = 2,440,158,221.88
  5. Step 5: Solve for x
    x = 2,440,158,221.88/82,136.04
  6. Step 6: Final answer
    x = 29,708.74

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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.