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Finding the Fourth Proportional to 68,686.49, 102,991.88 and 21,288.44

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Solution

The fourth proportional to 68,686.49, 102,991.88 and 21,288.44 is: 31,920.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,686.49 : 102,991.88 = 21,288.44 : x
  2. Step 2: Convert to fraction form
    68,686.49/102,991.88 = 21,288.44/x
  3. Step 3: Cross multiply
    68,686.49x = 102,991.88 × 21,288.44
  4. Step 4: Simplify right side
    68,686.49x = 2,192,535,836.47
  5. Step 5: Solve for x
    x = 2,192,535,836.47/68,686.49
  6. Step 6: Final answer
    x = 31,920.92

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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.