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Finding the Fourth Proportional to 216,136.40, 323,974.20 and 82,965.20

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Solution

The fourth proportional to 216,136.40, 323,974.20 and 82,965.20 is: 124,359.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,136.40 : 323,974.20 = 82,965.20 : x
  2. Step 2: Convert to fraction form
    216,136.40/323,974.20 = 82,965.20/x
  3. Step 3: Cross multiply
    216,136.40x = 323,974.20 × 82,965.20
  4. Step 4: Simplify right side
    216,136.40x = 26,878,584,297.84
  5. Step 5: Solve for x
    x = 26,878,584,297.84/216,136.40
  6. Step 6: Final answer
    x = 124,359.36

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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.