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Finding the Fourth Proportional to 68,784.49, 103,185.92 and 27,221.77

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Solution

The fourth proportional to 68,784.49, 103,185.92 and 27,221.77 is: 40,836.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,784.49 : 103,185.92 = 27,221.77 : x
  2. Step 2: Convert to fraction form
    68,784.49/103,185.92 = 27,221.77/x
  3. Step 3: Cross multiply
    68,784.49x = 103,185.92 × 27,221.77
  4. Step 4: Simplify right side
    68,784.49x = 2,808,903,381.48
  5. Step 5: Solve for x
    x = 2,808,903,381.48/68,784.49
  6. Step 6: Final answer
    x = 40,836.29

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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.