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Finding the Fourth Proportional to 68,821.80, 103,240.80 and 24,439.20

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Solution

The fourth proportional to 68,821.80, 103,240.80 and 24,439.20 is: 36,661.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,821.80 : 103,240.80 = 24,439.20 : x
  2. Step 2: Convert to fraction form
    68,821.80/103,240.80 = 24,439.20/x
  3. Step 3: Cross multiply
    68,821.80x = 103,240.80 × 24,439.20
  4. Step 4: Simplify right side
    68,821.80x = 2,523,122,559.36
  5. Step 5: Solve for x
    x = 2,523,122,559.36/68,821.80
  6. Step 6: Final answer
    x = 36,661.68

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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.