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Finding the Fourth Proportional to 68,103.20, 93,982.16 and 39,803.20

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Solution

The fourth proportional to 68,103.20, 93,982.16 and 39,803.20 is: 54,928.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,103.20 : 93,982.16 = 39,803.20 : x
  2. Step 2: Convert to fraction form
    68,103.20/93,982.16 = 39,803.20/x
  3. Step 3: Cross multiply
    68,103.20x = 93,982.16 × 39,803.20
  4. Step 4: Simplify right side
    68,103.20x = 3,740,790,710.91
  5. Step 5: Solve for x
    x = 3,740,790,710.91/68,103.20
  6. Step 6: Final answer
    x = 54,928.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.