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Finding the Fourth Proportional to 68,252.20, 102,392.70 and 21,509.80

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Solution

The fourth proportional to 68,252.20, 102,392.70 and 21,509.80 is: 32,269.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,252.20 : 102,392.70 = 21,509.80 : x
  2. Step 2: Convert to fraction form
    68,252.20/102,392.70 = 21,509.80/x
  3. Step 3: Cross multiply
    68,252.20x = 102,392.70 × 21,509.80
  4. Step 4: Simplify right side
    68,252.20x = 2,202,446,498.46
  5. Step 5: Solve for x
    x = 2,202,446,498.46/68,252.20
  6. Step 6: Final answer
    x = 32,269.24

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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.