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Finding the Fourth Proportional to 68,783.49, 103,184.42 and 27,220.77

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Solution

The fourth proportional to 68,783.49, 103,184.42 and 27,220.77 is: 40,834.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,783.49 : 103,184.42 = 27,220.77 : x
  2. Step 2: Convert to fraction form
    68,783.49/103,184.42 = 27,220.77/x
  3. Step 3: Cross multiply
    68,783.49x = 103,184.42 × 27,220.77
  4. Step 4: Simplify right side
    68,783.49x = 2,808,759,228.30
  5. Step 5: Solve for x
    x = 2,808,759,228.30/68,783.49
  6. Step 6: Final answer
    x = 40,834.79

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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.