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Finding the Fourth Proportional to 68,468.20, 102,702.30 and 21,725.80

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Solution

The fourth proportional to 68,468.20, 102,702.30 and 21,725.80 is: 32,588.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,468.20 : 102,702.30 = 21,725.80 : x
  2. Step 2: Convert to fraction form
    68,468.20/102,702.30 = 21,725.80/x
  3. Step 3: Cross multiply
    68,468.20x = 102,702.30 × 21,725.80
  4. Step 4: Simplify right side
    68,468.20x = 2,231,289,629.34
  5. Step 5: Solve for x
    x = 2,231,289,629.34/68,468.20
  6. Step 6: Final answer
    x = 32,588.70

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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.