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Finding the Fourth Proportional to 68,452.84, 102,682.92 and 21,709.36

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Solution

The fourth proportional to 68,452.84, 102,682.92 and 21,709.36 is: 32,565.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,452.84 : 102,682.92 = 21,709.36 : x
  2. Step 2: Convert to fraction form
    68,452.84/102,682.92 = 21,709.36/x
  3. Step 3: Cross multiply
    68,452.84x = 102,682.92 × 21,709.36
  4. Step 4: Simplify right side
    68,452.84x = 2,229,180,476.13
  5. Step 5: Solve for x
    x = 2,229,180,476.13/68,452.84
  6. Step 6: Final answer
    x = 32,565.20

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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.